Matrices and Their Inverses Answers

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Which of the following statements are true about inverse matrices?

A
All square matrices have inverses.
B
If A and B are inverse matrices, then A and B must be square matrices.
C
The determinant of a singular matrix is equal to zero.
D
If A and B are inverse matrices, then A + B = I.
E
If A and B are inverse matrices, then .
Option E
F
Any zero matrix does not have an inverse.
G
If B = A–1, then A = B–1.
5

✔ areare not

A
✔ are
B
are not
10

✔ is commutativeis not commutative

A
✔ is commutative
B
is not commutative
11

a = b = c = d =

Answers:
Part 1:5
Part 2:-3
Part 3:-1
Part 4:1
13

Which pairs of matrices are inverses?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
14

Find the elements of D.a = b = c = d = e = f = g = h = i =

Answers:
Part 1:-9
Part 2:7
Part 3:12
Part 4:-5
Part 5:4
Part 6:7
Part 7:3
Part 8:-2
Part 9:-4
15

Select the matrix that is the inverse of:

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
19

b =

Answer:

7

20

ABA = ✔ ABI

A
✔ A
B
B
C
I

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