##
Amit, Biraj and Chirag were given the task of creating a square matrix of order 2. Below are the matrices created by them. A, B , C are the matrices created by Amit, Biraj and Chirag respectively.

A = [1 2 -1 3] B = [4 0 1 5] C = [2 0 1 -2]

If a = 4 and b = −2, based on the above information answer the following:

##
**
Question 1
**

## Sum of the matrices A, B and C , A + (B + C) is

##
(a) [1 6

2 7]

(b) [6 1

7 2]

(c) [7 2

1 6]

(d) [2 1

7 6]

##
**
Question 2
**

##
**
(
**
**
A
**^{
T
}
)
^{
T
}
is equal to

^{ T })

^{ T }

##
(a) [1 2

-1 3]

(b) [2 1

3 -1]

(c) [1 -1

2 3]

(d) [2 3

1 -1]

##
**
Question 3
**

##
**
(
**
**
BA)
**^{
T
}
is equal to

^{ T }

##
(a) [-2 -4

2 -6]

(b) [-2 2

-4 -6]

(c) [-2 2

-6 -4]

(d) [-6 -2

2 4]

##
**
Question 4
**

## AC – BC is equal to

##
(a) [-4 -6

-4 4]

(b) [-4 -4

4 -6]

(c) [-4 -4

-6 -4]

(d) [-6 4

-4 -4]

##
**
Question 5
**

## (a + b) B is equal to

##
(a) [0 8

10 2]

(b) [2 10

8 0]

(c) [8 0

2 10]

(d) [2 0

8 10]