Question # 1

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

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3 x 1

1 x 3

3 x 3

1 x 1

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

Which of the following is skew symmetric matrix

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Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

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16

256

64

1024

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

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2 AB

2 BA

A + B

AB

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I3

rI3

r

none

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-a -b -c

1

0

-1

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K/6

2K

3K

6K

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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