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Recent questions tagged linear-algebra

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421
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,-1. If $B=A^2-A$ then |B|=? a)24 b)-2 c)12 d)-12 Please explain in detail.
Let A be a 3*3 matrix whose characteristics roots are 3,2,-1. If $B=A^2-A$ then |B|=?a)24b)-2c)12d)-12Please explain in detail.
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1 votes
1 answer
423
Applied Course | Mock GATE | Test 1 | Question: 35
If $S=a+b+c$, then the value of $\Delta=\begin{vmatrix} s+c & a & b \\ c & s+a & b \\ c & a & s+b \end{vmatrix}$ $2s^2$ $2s^3$ $s^3$ $3s^3$
If $S=a+b+c$, then the value of $\Delta=\begin{vmatrix} s+c & a & b \\ c & s+a & b \\ c & a & s+b \end{vmatrix}$$2s^2$$2s^3$$s^3$$3s^3$
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0 answers
425
Doubt on syllabus
Is LU decomposition in course for GATE 2019?
Is LU decomposition in course for GATE 2019?
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0 answers
426
UPPCL AE 2018:58
Let $\text{A}$ be a $2 \times 2$ matrix with integer entries. Which of the following could be its eigenvalue? $\sqrt[3]{2}$ $\pi$ $\frac{1}{\sqrt{2}}$ $\sqrt{2}$
Let $\text{A}$ be a $2 \times 2$ matrix with integer entries. Which of the following could be its eigenvalue?$\sqrt[3]{2}$$\pi$$\frac{1}{\sqrt{2}}$$\sqrt{2}$
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1 votes
0 answers
427
Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{-1}$ ?
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{-1}$ ?
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4 votes
1 answer
429
GATE Overflow | Mock GATE | Test 1 | Question: 52
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$ For the above given matrix $A,$ $A^3 -7A^2 +10A = $ $5I+A$ $5I-A$ $A-5I$ $6I$
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$For the above given matrix $A,$$A^3 -7A^2 +10A = $$5I+A$$5I-A$$A-5I$$6I$
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430
doubt
how can we find factor of determinant by hit and trial method ? Please explain the steps https://gateoverflow.in/ask?cat=33
how can we find factor of determinant by hit and trial method ? Please explain the stepshttps://gateoverflow.in/ask?cat=33
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431
Are proofs important at this time while I am preparing Engineering Mathematics?
Good Morning I am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn? Thank you in Advance
Good MorningI am preparing Engineering Mathematics now and as the time is less, does proofs matters to learn?Thank you in Advance
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3 votes
1 answer
434
Ace test series
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2 votes
1 answer
435
NIELIT 2018-21
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigen vector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is $15$ $16$ $17$ $18$
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigen vector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10...
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2 votes
1 answer
436
NIELIT 2018-27
The following vectors $(1, 9, 9, 8), (2, 0, 0, 8), (2, 0, 0, 3)$ are Linearly dependent Linearly independent Constant None of these
The following vectors $(1, 9, 9, 8), (2, 0, 0, 8), (2, 0, 0, 3)$ areLinearly dependentLinearly independentConstantNone of these
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3 votes
1 answer
437
NIELIT 2018-30
If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then: $B^2=I$ $B^2 = \text{Null Matrix}$ $B^3=I$ $B^3 = \text{Null Matrix}$
If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then:$B^2=I$$B^2 = \text{Null Matrix}$$B^3=I$$B^3 = \te...
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1 votes
0 answers
440
Self Doubt
Relation between rank and number of non-zero eigenvalues of a matrix If Rank of n X n matrix is r, then number of non zero eigen values ?? In either of cases det(A) = 0 or if det(A) not equal 0
Relation between rank and number of non-zero eigenvalues of a matrixIf Rank of n X n matrix is r, then number of non zero eigen values ?? In either of cases det(A) = 0 or...
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0 votes
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441
Matrices
The number of binary matrices of order $N*N$ whose determinant is exactly zero.
The number of binary matrices of order $N*N$ whose determinant is exactly zero.
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0 votes
1 answer
442
Gilbert_Strang_LU_Decomposition
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$
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446
#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,-2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
If $A$ is $2\times 2$ matrix ,eigen value is $1,-2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
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448
#books q
the number of algebric terms in expansion of a determinant of order 5 is
the number of algebric terms in expansion of a determinant of order 5 is
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1 votes
2 answers
449
Eigen Vector
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0 votes
1 answer
450
linear algebra
The Eigen Vectors of the Matrix $A=\begin{bmatrix} 3 &4 \\ 4 &-3 \end{bmatrix}$ are $\begin{bmatrix} a\\ 1 \end{bmatrix},\begin{bmatrix} 1\\ b \end{bmatrix}$ the $a+b=?$ Answer is given (a+b)=0 how ?????
The Eigen Vectors of the Matrix $A=\begin{bmatrix} 3 &4 \\ 4 &-3 \end{bmatrix}$ are $\begin{bmatrix} a\\ 1 \end{bmatrix},\begin{bmatrix} 1\\ b \end{bmatrix}$ the $a+b=?$...
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