Question: Consider a 3x3 matrix denoted by A with first row [-1 3 2], second row [0 4 1] and third row [1 2 5], and

Consider a 3x3 matrix denoted by A with first row [-1 3 2], second row [0 4 1] and third row [1 2 5], and another 3x3 matrix, B, with first row [6 2 -1], second row [3 5 2] and third row [-2 -3 0].

The matrix 2A-5B is:

a.First row [-3 -2 -5], second row [-1 -1 -8] and third row [2 1 0]

b.First row [2 -4 0], second row [5 7 -2] and third row [1 1 0]

c.First row [-32 -4 9], second row [-15 -17 -8] and third row [12 19 10]

d.First row [11 -3 5], second row [-1 6 -7] and third row [1 0 -2]

2. A^2 - 2A + 3I is:

a.First row [8 7 -3], second row [1 13 7] and third row [2 17 22]

b.First row [-1 7 -3], second row [0 1 -5] and third row [4 1 25]

c.First row [8 1 0], second row [1 1 0] and third row [0 -7 22]

d.First row [-7 5 -3], second row [1 18 15] and third row [-2 11 12]

3.he matrix AB is:

a.First row [0 7 -7], second row [1 4 7] and third row [2 -1 3]

b.First row [-1 7 7], second row [10 17 8] and third row [2 -3 3]

c.First row [-1 0 1], second row [0 1 -8] and third row [-4 -3 3]

d.First row [4 0 1], second row [1 1 8] and third row [2 -3 3]

4.The matrix BA is:

a.First row [0 7 -7], second row [1 4 7] and third row [2 -1 3]

b.First row [-1 7 7], second row [10 17 8] and third row [2 -3 3]

c.First row [-7 24 9], second row [-1 33 21] and third row [2 -18 -7]

d.First row [-5 26 5], second row [-1 3 2] and third row [0 -18 -5]

5.The matrix A transpose is:

a.First row [-1 3 2], second row [0 4 1] and third row [1 2 5]

b.First row [1 0 1], second row [0 1 0] and third row [0 0 1]

c.First row [1 0 1], second row [0 -3 5] and third row [2 4 -5]

d.First row [-1 0 1], second row [3 4 2] and third row [2 1 5]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!