11th Class Math MCQS Chapter 3

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11th Class Math MCQS
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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 (At)t =
A
(At)(At)
At
At2

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=—————;
BtAt
None of these
-(At + Bt)
At + Bt

The square matrix A is diagonal matrix if
aij = 0 ? i? j
At least one aij ? 0 ? i ? j
aij = 0 ? i? j and at least one aij ? 0 ? i = j
aij = 0 ? ,i = j

A is non-singular matrix then AA-1 is;
A
A-1
O
I

If ‘A’ is multiplicative inverse of ‘B’ then:
None of these
BA = 1
Both (a) and (b)
AB = 1

(AB)t=
Bt
AtBt
BtAt
At

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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