Matrices Test

Result

Matrices Test - 7

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If A and B are symmetric matrices of order n ( A≠ B), then

A
A + B is skew symmetric

B
A + B is symmetric

C
A + B is a diagonal matrix

D
A + B is a zero matrix

Solution

Sum of two symmetric matrices is also symmetric.
Question 2
1 / -0

If A is a square matrix, then A – A’ is a

A
skew-symmetric matrix

B
symmetric matrix

C
diagonal matrix

D
none of these

Solution

The difference of a matrix A and its transpose is always skew – symmetric.
Question 3
1 / -0

If A is square matrix such that A² = I, then A^-1 is equal to

A
A + I

B
I

C
O

D
A

Solution

If A amd B are two square matrices of same order and the product AB= I, the matrix B is called inverse of matrix A.Therefore , if A²= I, then matrix A is the inverse of itself.
Question 4
1 / -0

Two matrices A and B are multiplicative inverse of each other only if

A
AB = BA = O

B
AB = BA

C
AB = O, BA = I

D
AB = BA = I

Solution

If AB = BA = I, then A and B are inverse of each other. i.e. A is inverse of B and B is inverse of A.
Question 5
1 / -0

If A and B are square matrices of the same order, then (A + B)² = A² + 2AB + B² implies

A
AB = O

B
AB + BA = O

C
AB = BA

D
none of these

Solution

If A and B are square matrices of same order, then, product of the matrices is not commutative.Therefore, the given result is true only when AB = BA.