Scalar and Matrix Multiplication Answers

32 verified answers2 views
1
Free Preview

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.
3

Question text not available

Answer not available
4

Question text not available

Answer not available
6

Now calculate BA: Find d11 = d12 = d21 = d22 =

Answers:
Part 2:0
Part 3:0
Part 4:1
7

Question text not available

Answer not available
8

Question text not available

Answer not available
9

Question text not available

Answer not available
10

Question text not available

A
is commutative
B
is not commutative
11

a = b = c = d =

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

Question text not available

Answer not available
18

Explain why it is important to be able to perform matrix operations by hand when a calculator can do them for you.

Answer:

It is important to be able to perform matrix operations by hand because calculators may not always be available, such as on certain tests or if the calculator dies. Finding an inverse or doing other operations by hand also helps you understand the process instead of just getting an answer. Calculators may show decimal approximations rather than exact fractions. For small or simple matrices, working by hand can sometimes be faster. Finally, a matrix could contain a variable, which many calculators cannot handle easily.

19

Question text not available

Answer not available
20

Question text not available

Answer not available

Did you find these answers helpful?