11th Class Math MCQS Chapter 3 | MCQS with Answers

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Matrix multiplication

Is not commutative in general

Is associative and commutative

Is commutative in general

Neither commutative nor associative

If the co-efficient matrix of the homogenous system is singular then the solution is:

Non – Trivial

Trivial

Does not exist

None of these

Let a be any matrix then (A^t)^t =

(A^t)(A^t)

A^t

A^t2

If A?)^t = A then A is _________ matrix:

Symmetric

Skew-symmetric

Hermitian

Skew – Hermitian

Let A and B are two matrices of same order then (A+B)^T=—————;

B^tA^t

None of these

-(A^t + B^t)

A^t + B^t

The square matrix A is diagonal matrix if

a_ij = 0 ? i? j

At least one a_ij ? 0 ? i ? j

a_ij = 0 ? i? j and at least one a_ij ? 0 ? i = j

a_ij = 0 ? ,i = j

A is non-singular matrix then AA^-1is;

A^-1

If ‘A’ is multiplicative inverse of ‘B’ then:

None of these

BA = 1

Both (a) and (b)

AB = 1

(AB)^t=

B^t

A^tB^t

B^tA^t

A^t

If the order of A is m x p and order if B is p x n then order of AB is:

n x p

p x m

n x m

m x n

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