Question # 1

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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-a -b -c

1

0

-1

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I3

rI3

r

none

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

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all

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

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

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Skew-symmetric

Symmetric

Null

None of the above

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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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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0

Independent of a

Independent of b

Independent of c

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

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Orthogonal

Involutary

Idempotent

Nilpotent

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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all are correct

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers

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