Recent questions and answers in Linear Algebra

+1 vote

1 answer

1

How to solve such question
$ \quad \begin{bmatrix} 3 & 7.5 \\ -6 & 4.5 \end{bmatrix} \quad \begin{bmatrix} x \\y \end{bmatrix} \quad = \begin{bmatrix} 6 \\ -90 \end{bmatrix} \quad $ which of the following represent the solution of the system of ... 2, 3 Please enumerate the steps to solve this problem as I am looking for a procedure and want to learn this topic from this question possibly.

answered 4 hours ago in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 24 views

+1 vote

1 answer

2

Doubts
Eigenvalues of an Idempotentmatrix matrix A is 0 or 1 right or wrong?

answered 3 days ago in Linear Algebra by Mk Utkarsh Boss (30k points) | 33 views

+1 vote

1 answer

3

aai 2018
For what values of k, the points (k,2-2k),(-k+1,2k) and (-4-k,6-2k) are collinear? ½ ,-½ -1 ,½ 0, 1 -1 , 1

answered 5 days ago in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 47 views

+1 vote

1 answer

4

GATE 2013 MA Matrices
Let $J$ be a $2\times 2$ complex matrix such that $trace(J)=1$ and $det(J)=6.$ Then, $trace(J^4 – J^3)$ is ___________

answered 6 days ago in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 32 views

+1 vote

1 answer

5

GATE 2016 Matrices

answered 6 days ago in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 21 views

+1 vote

1 answer

6

GATE 2018 MA LU DECOMPOSITION

answered 6 days ago in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 31 views

0 votes

0 answers

7

GATE 2018 MA Matrices

asked 6 days ago in Linear Algebra by Balaji Jegan Active (4.3k points) | 29 views

+1 vote

0 answers

8

GATE 2018 MA Eigen values

asked 6 days ago in Linear Algebra by Balaji Jegan Active (4.3k points) | 38 views

0 votes

0 answers

9

GATE 2017 MA Matrices

asked Dec 12 in Linear Algebra by Balaji Jegan Active (4.3k points) | 15 views

0 votes

0 answers

10

GATE 2016 MA Matrix

asked Dec 12 in Linear Algebra by Balaji Jegan Active (4.3k points) | 10 views

0 votes

0 answers

11

GATE 2013 MA LU Decomposition

asked Dec 12 in Linear Algebra by Balaji Jegan Active (4.3k points) | 12 views

0 votes

0 answers

12

GATE 2013 MA Vector Space

asked Dec 12 in Linear Algebra by Balaji Jegan Active (4.3k points) | 8 views

+1 vote

1 answer

13

GATE 2012 MA Matrix

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 34 views

0 votes

0 answers

14

GATE 2012 Trace

asked Dec 11 in Linear Algebra by Balaji Jegan Active (4.3k points) | 44 views

+1 vote

1 answer

15

GATE 2012 MA Matrices

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 37 views

+1 vote

0 answers

16

GATE 2012 MA Eigen Values

asked Dec 11 in Linear Algebra by Balaji Jegan Active (4.3k points) | 25 views

+1 vote

1 answer

17

GATE 2011 MA Matrices

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 38 views

0 votes

0 answers

18

GATE 2011 MA LU Decomposition

asked Dec 11 in Linear Algebra by Balaji Jegan Active (4.3k points) | 13 views

+1 vote

2 answers

19

GATE 2010 MA Matrices

answered Dec 11 in Linear Algebra by Mk Utkarsh Boss (30k points) | 21 views

+1 vote

1 answer

20

GATE 2010 MA Eigen Values

answered Dec 11 in Linear Algebra by Mk Utkarsh Boss (30k points) | 17 views

0 votes

0 answers

21

Doubt : ACE ots 3
Answer : Option A Doubt : 0 repeated n-1 times and a single 1 , then how <0,n> ?

asked Dec 11 in Linear Algebra by HeadShot Active (3.7k points) | 43 views

+2 votes

1 answer

22

GATE 2009 MA Trace

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 28 views

+1 vote

0 answers

23

GATE 2009 MA Matrices

asked Dec 11 in Linear Algebra by Balaji Jegan Active (4.3k points) | 29 views

+1 vote

1 answer

24

GATE 2008 MA LU Decomposition

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 17 views

+1 vote

1 answer

25

GATE 2007 MA Eigen Value

answered Dec 11 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 31 views

+16 votes

3 answers

26

GATE1993-01.1
In questions $1.1$ to $1.7$ below, one or more of the alternatives are correct. Write the code letter$(s)$ $a$, $b$, $c$, $d$ corresponding to the correct alternative$(s) $ in the answer book. Marks will be given only if all the correct alternatives have been selected and no incorrect ... $(0,0,\alpha)$ $(\alpha,0,0)$ $(0,0,1)$ $(0,\alpha,0)$

answered Dec 10 in Linear Algebra by Gupta731 Active (3k points) | 1.5k views

+2 votes

1 answer

27

Ace test series

answered Dec 10 in Linear Algebra by Mk Utkarsh Boss (30k points) | 34 views

0 votes

0 answers

28

Self Doubt
If M is a square matrix with a zero determinant, which of the following assertion (s) is (are) correct? S1: Each row of M can be represented as a linear combination of the other rows S2: Each column of M can be represented as a linear combination of the other columns True or false

asked Dec 9 in Linear Algebra by jatin khachane 1 Active (3.5k points) | 45 views

0 votes

0 answers

29

#self doubt GATE 2018
https://gateoverflow.in/204100/gate2018-26 please explain this one in more detail!

asked Dec 8 in Linear Algebra by himgta Active (2.9k points) | 28 views

0 votes

0 answers

30

ACE ACADEMY MOCK TEST 1

asked Dec 7 in Linear Algebra by Sumit Kushwah (15 points) | 49 views

0 votes

0 answers

31

NIELIT SB_2018_25
The following vectors (1,9,9,8), (2,0,0,8) , (2,0,0,3) are: (a) Linearly dependent (b) Linearly independent (c ) Constant (d) None of these

asked Dec 3 in Linear Algebra by manu.ratheesh (29 points) | 62 views

+1 vote

1 answer

32

Made easy workbook

answered Nov 30 in Linear Algebra by Mk Utkarsh Boss (30k points) | 44 views

+1 vote

0 answers

33

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

asked Nov 29 in Linear Algebra by jatin khachane 1 Active (3.5k points) | 24 views

0 votes

0 answers

34

Matrices
The number of binary matrices of order $N*N$ whose determinant is exactly zero.

asked Nov 29 in Linear Algebra by HeadShot Active (3.7k points) | 26 views

+19 votes

6 answers

35

GATE2014-2-4
If the matrix $A$ is such that $A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$ then the determinant of $A$ is equal to ______.

answered Nov 19 in Linear Algebra by Ayush Upadhyaya Boss (19.2k points) | 1.6k views

+29 votes

5 answers

36

GATE2007-IT-2
Let A be the matrix $\begin{bmatrix}3 &1 \\ 1&2\end{bmatrix}$. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A? $3$ $\frac{(5 + √5)}{2}$ $3$ $\frac{(5 - √5)}{2}$

answered Nov 19 in Linear Algebra by Lakshman Patel RJIT Boss (20.9k points) | 2.4k views

0 votes

1 answer

37

Cases when LU decomposition is possible.

answered Nov 18 in Linear Algebra by Shubhgupta Loyal (5.8k points) | 70 views

0 votes

1 answer

38

Gilbert_Strang_LU_Decomposition
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$

answered Nov 18 in Linear Algebra by srestha Veteran (104k points) | 67 views

+1 vote

0 answers

39

Zeal test descrete math

asked Nov 17 in Linear Algebra by Prince Sindhiya Loyal (5.4k points) | 38 views

0 votes

0 answers

40

Linear Algebra-METest
If the determinant of the below matrix is 245, what is the value of X? $\begin{bmatrix} 0 & 4& 2 &1 \\ 3& -1 & 0 & 2\\ 5&2 & x& 4\\ 6& 1 & -1 & 0 \end{bmatrix}$ ... , because by keeping 6 in place of x I am getting determinant as 245(Result verified by computer program). Please let me know where I am going wrong?

asked Nov 17 in Linear Algebra by Ayush Upadhyaya Boss (19.2k points) | 66 views

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