# Matricesand commute under multiplication

1.  if a=b or = n , where n is an integer

2.  always

3.  never

4.  if a cos ? ≠ b sin ?

4

if a=b or = n , where n is an integer

Explanation :
No Explanation available for this question

# If,then

1.  A'=-A

2.  A'=A

3.  A'= -1/A

4.  None of these

4

A'=-A

Explanation :
No Explanation available for this question

# Eigen values of the system represented by X=X are

1.  0,0,0

2.  1,1,1,1

3.  0,0,0,-1

4.  1,0,0,0

4

1,0,0,0

Explanation :
No Explanation available for this question

# Rank of the matrixis

1.  4

2.  2

3.  1

4.  0

4

1

Explanation :
No Explanation available for this question

# Matrix,A=is not

1.  Orthogonal

2.  Non singular

3.  Singular

4.  Have exists

4

Have exists

Explanation :
No Explanation available for this question

# In the matrix eqution px= q,which of the following is anecessary condition for the existence of at least one solution for the unknown vector x

1.  Augmented matrix [pq] must have the same ranks as matrix p

2.  Vector q must have only non-zero elements

3.  Matrix p must be singular

4.  Matrix must be square

4

Augmented matrix [pq] must have the same ranks as matrix p

Explanation :
No Explanation available for this question

# Eigen vectors of a real symmetric matrix corresponding to different eigen values are

1.  Orthogonal

2.  Singular

3.  Non singular

4.  None of these

4

Orthogonal

Explanation :
No Explanation available for this question

# An arbitrary vector X is an eigen vector of the matrix A =,if (a,b) =

1.  (0,0)

2.  (1,1)

3.  (0,1)

4.  (1,2)

4

(0,0)

Explanation :
No Explanation available for this question

# For which value of k, following system is consistent 2x -5ky+2z=0 kx+2y-2z=0 2x+2y-kz=0

1.  1

2.  2

3.  3

4.  5

4

2

Explanation :
No Explanation available for this question

1.  2

2.  4

3.  6

4.  8

4