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Recent questions tagged matrix
0
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1
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1
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,1. If $B=A^2A$ then B=? a)24 b)2 c)12 d)12 Please explain in detail.
asked
1 day
ago
in
Linear Algebra
by
Reshu $ingh
(
17
points)

16
views
linearalgebra
matrix
eigenvalue
0
votes
0
answers
2
GEEKS 4 GEEKS  gate cs mock 2018
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix ? 7/4 1/7 7 4/7 Answer given : 7/4 My answer : 7 trace of a matrix is the sum of its diagonal elements.So on transposing the matrix the diagonal elements will ... is also equal to sum of eigen values.So trace of A = 7 So trace of transpose(A) should be 7. Is my reasoning right?
asked
Jan 3
in
Linear Algebra
by
vk_9_1_9
(
105
points)

36
views
matrix
0
votes
0
answers
3
Wiki example  Rouché–Capelli_theorem
What is the rank of the augmented matrix and coefficient matrix here ? x + y + 2z = 3, x + y + z = 1, 2x + 2y + 2z = 2 The example says it’s Augmented Matrix Rank is 3 and Coefficent Matrix Rank is 2, Can someone share the solution using echelon Form? This is a question from wiki page example here
asked
Jan 1
in
Set Theory & Algebra
by
Salazar
Active
(
1.1k
points)

15
views
matrix
rankofmatrix
discretemathematics
+1
vote
0
answers
4
Linearity of Matrix
$1)$What is linearly independent solution? Why it is depend on rank of matrix? (Linearly independent solution = no of rows of matrix rank of matrix) $I=NR$ $2)$ Why for unique solution of a matrix , determinant of matrix need to be nonzero? What should be determinant value for infinite solution?
asked
Nov 16, 2018
in
Linear Algebra
by
srestha
Veteran
(
107k
points)

39
views
matrix
0
votes
0
answers
5
Derive formula of the Matrix
How formula $Ae=e$ is valid? Can someone give an example? Here that formula is used here but I gavenot got clearity how this formula can be correct?
asked
Nov 9, 2018
in
Linear Algebra
by
srestha
Veteran
(
107k
points)

42
views
matrix
+1
vote
1
answer
6
Find Inverse
Inverse of this matrix $\begin{bmatrix} 2 &1 &1 \\ 3 &2 &1 \\ 2& 1 &2 \end{bmatrix}$ will be A)$\begin{bmatrix} 3 &4 &1 \\ 1 &2 &0 \\ 1 &1 &1 \end{bmatrix}$ B)$\begin{bmatrix} 3 &1 &1 \\ 4 &2 &1 \\ 1& 0 &1 \end{bmatrix}$
asked
Nov 3, 2018
in
Linear Algebra
by
srestha
Veteran
(
107k
points)

59
views
engineeringmathematics
matrix
+1
vote
0
answers
7
LINEAR ALGEBRA
IF A=$\begin{bmatrix} 2& 0.1\\ 0 & 3 \end{bmatrix}$ AND A1=$\begin{bmatrix} \frac{1}{2}& a\\ 0 & b \end{bmatrix}$ then a+b ? a)$\frac{7}{20}$ b)$\frac{3}{20}$ c)$\frac{19}{60}$ d)$\frac{11}{20}$
asked
Oct 27, 2018
in
Linear Algebra
by
altamash
(
417
points)

51
views
matrix
+2
votes
1
answer
8
Linear algebra
For matrix $p=\begin{bmatrix} 3 &2 &2 \\ 0 &2 &1 \\ 0& 0 & 1 \end{bmatrix}$if one of the eigen values is equal to – 2, then which of the following is an eigen vector? (a) [ 3 −2 1 ] (b) [ −3 2 −1 ] (c) [ 1 −2 3 ] (d) [ 5 2 0 ]
asked
Oct 21, 2018
in
Linear Algebra
by
sahil_malik
(
331
points)

156
views
matrix
linearalgebra
0
votes
0
answers
9
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
Boss
(
10k
points)

60
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
10
Invertible Matrix
Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{1}$.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
Boss
(
10k
points)

112
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
+2
votes
1
answer
11
Self doubt
How to understand the nesting of for loops in these algorithms like which for loop comes under the other ?
asked
Jul 23, 2018
in
Algorithms
by
Prince Sindhiya
Loyal
(
6.1k
points)

17
views
algorithms
matrix
chain
multiplication
0
votes
1
answer
12
Rank of a matrix
Let A be a 4×3 real matrix with rank 2. Let B be transpose matrix of A. Which one of the following statement is TRUE? (a) Rank of BA is less than 2. (b) Rank of BA is equal to 2. (c) Rank of BA is greater than 2. (d) Rank of BA can be any number between 1 and 3.
asked
Jun 21, 2018
in
Mathematical Logic
by
bts
(
149
points)

92
views
rankofmatrix
engineeringmathematics
matrix
0
votes
0
answers
13
Gilbert Strang  Real Symmetric Matrices
Prove that : For all real symmetric matrices , No. of positive Pivots = No . of positive eigenvalues Can anyone please give the formal mathematical proof for the above statement ?
asked
Jun 2, 2018
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
8.9k
points)

50
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
1
answer
14
Gilbert Strang 1.3.9
For which three numbers $k$ does elimination break down? Which is fixed by a row exchange? In each case, is the number of solutions $0$ or $1$ Infinity? $Kx + 3 y =6\\3x +ky = 6$
asked
May 31, 2018
in
Engineering Mathematics
by
Sandy Sharma
Active
(
1.2k
points)

70
views
linearalgebra
gilbertstrang
matrix
0
votes
1
answer
15
self doubt
if $A^{3} = 0$ can we conclude that $A^{2} = A$ that will be valid for zero matrix
asked
Mar 4, 2018
in
Linear Algebra
by
Kaluti
Loyal
(
6k
points)

66
views
matrix
+1
vote
1
answer
16
Ee gate 2008
Let $P$ be a $2$ x $2$ real orthogonal matrix and ${\vec{x}}$ is a real vector $[x_1,x_2]^T$ with length ${\vec{x}}$ = ${(x_1^2 + x_2^2)^{1/2}}$. Then which one of the following statements is correct? A. $P{\vec{x}}$ $\leq$ ${\vec{x}}$ where ... satisfies $P{\vec{x}}$ >${\vec{x}}$ D. No relationship can be established between${\vec{x}}$ and $P{\vec{x}}$
asked
Mar 4, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.1k
points)

129
views
gate2008ee
engineeringmathematics
matrix
vectorspace
0
votes
0
answers
17
Ee gate 2008
Let $P$ be a $2$ x $2$ real orthogonal matrix and ${\vec{x}}$ ia real vector $[x_1,x_2]^T$ with length ${\vec{x}}$ = ${(x_1^2 + x_2^2)^{1/2}}$. Then which one of the following statements is correct? A. $P{\vec{x}}$ $\leq$ ${\vec{x}}$ where at ... satisfies $P{\vec{x}}$ >${\vec{x}}$ D. No relationship can be established between${\vec{x}}$ and $P{\vec{x}}$
asked
Mar 3, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.1k
points)

57
views
engineeringmathematics
matrix
+6
votes
1
answer
18
Eigen value
asked
Jan 13, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
26.9k
points)

153
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
+4
votes
1
answer
19
matrix adjoint
If $1,2,3$ are the eigen values of the matrix $A$ then ratio of determinant of $B$ to the trace of $B$ is_______where $B=[adj(A)AA^{1}A^{2}]$
asked
Jan 10, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
26.9k
points)

121
views
engineeringmathematics
linearalgebra
matrix
+5
votes
1
answer
20
Matrix Eigen Value
A 3× 3 real matrix has an eigen value i, then its other two eigen values can be (A) 0, 1. (B) 1, i. (C) 2i, 2i. (D) 0, i.
asked
Nov 14, 2017
in
Mathematical Logic
by
Lakshman Patel RJIT
Boss
(
26.9k
points)

132
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
+2
votes
0
answers
21
rank of matrix
The rank of the matrix of coefficients of a homogeneous system of m linear equations in n unknowns is never less than the rank of the augmented matrix. (A) Always true (B) Sometimes true (C) False (D) None of the above
asked
Nov 11, 2017
in
Linear Algebra
by
Parshu gate
Active
(
5.1k
points)

120
views
rankofmatrix
matrix
linearalgebra
engineeringmathematics
+5
votes
1
answer
22
Gilbert Strang
How many n*n (0,1) matrix are invertable ? PS: original question in book is for 2*2
asked
Oct 23, 2017
in
Linear Algebra
by
Tesla!
Boss
(
17.6k
points)

119
views
matrix
gilbertstrang
linearalgebra
+3
votes
1
answer
23
Find the last row of the Matrix
For the first one I have got 28 and 11 as the answer but for the matrix C I am not able to get the value of element c32. c31 = c33 = 6.
asked
Jul 24, 2017
in
Linear Algebra
by
Shubhanshu
Boss
(
18.4k
points)

150
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
+6
votes
3
answers
24
Gate ECE 2017 Eigen Value
For the given matrix A, one of the Eigenvalue is real $A=\begin{bmatrix} 1 &2 &3 &4 &5 \\ 5 &1 &2 &3 &4 \\ 4&5 &1 &2 &3 \\ 3&4 &5 &1 &2 \\ 2 &3 &4 &5 &1 \end{bmatrix}$ The real Eigen value is:
asked
Feb 8, 2017
in
Linear Algebra
by
yg92
Active
(
3.4k
points)

1.1k
views
matrix
eigenvalue
+3
votes
1
answer
25
MATRIX
Let A be a $3 \times 3$ matrix with integer entries such that $A =1$. What is the maximum possible number of entries of A that are even?
asked
Jan 19, 2017
in
Set Theory & Algebra
by
Supremo
Junior
(
527
points)

235
views
matrix
matrices
linearalgebra
discretemathematics
0
votes
0
answers
26
Matrix
1. If the row reduced form of a matrix has more than two nonzero entries in a row, then the corresponding system of equations has infinitely many solutions. 2. If the row reduced form of a matrix has more than two nonzero entries in a row, then the ... many solutions or no solution. The given statements are respectively A. True, True B. True, False C. False, True D. False, False
asked
Jan 18, 2017
in
Linear Algebra
by
Samujjal Das
Loyal
(
9.8k
points)

60
views
matrix
0
votes
0
answers
27
Virtual gate
Two matrices A and B are called similar if there exists another matrix S such that S−1AS = B. Consider the statements: (I) If A and B are similar then they have identical rank. (I) If A and B are similar then they have identical trace. (III) Which of the following is TRUE. (A) Only I and III (B) Only II (C) Both I and II but not III (D) All of I, II and III
asked
Jan 18, 2017
in
Mathematical Logic
by
Sarvottam Patel
Active
(
1.1k
points)

58
views
matrix
+1
vote
1
answer
28
Rank of matrix
The rank of above matrix is 3 then what is that square sub matrix of order 3 whose determinant is not equal to 0.
asked
Jan 9, 2017
in
Linear Algebra
by
harshit agarwal
(
323
points)

779
views
matrix
rankofmatrix
matrices
linearalgebra
+1
vote
1
answer
29
how to solve
asked
Jan 6, 2017
in
Linear Algebra
by
firki lama
Junior
(
887
points)

85
views
orthogonal
matrix
eigenvalue
0
votes
2
answers
30
ACEMockTest:Matrix algebraRank
asked
Dec 24, 2016
in
Linear Algebra
by
KISHALAY DAS
Loyal
(
6.6k
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363
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matrix
rankofmatrix
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