Question
Asked Nov 7, 2019
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Rework problem 17 from section 6.1 of your text, involving two matrices A and B. Use the following matrices instead of those
shown in your text.
1
A =
-4
B =
3
-3
13
1
For what value of c is it true that AB- I?
C =
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Rework problem 17 from section 6.1 of your text, involving two matrices A and B. Use the following matrices instead of those shown in your text. 1 A = -4 B = 3 -3 13 1 For what value of c is it true that AB- I? C =

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Expert Answer

Step 1

According to the given information the matrix A and B is given as:

-4
1
A
3 13
C
В
3
1
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-4 1 A 3 13 C В 3 1

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Step 2

Now it is required to calculate the value...

1
4
AB
-3
13
3
1
()(4)+(-4) (1)
(-3) (4) + (13) (1)
(1)(e)+(-4)(3)
(-3)(c) + (13) (3)
с -12
0
AB
-3c 39
1
now, it is known that AB = I so,
0
с -12
1
0
-3c 39
1
0
1
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1 4 AB -3 13 3 1 ()(4)+(-4) (1) (-3) (4) + (13) (1) (1)(e)+(-4)(3) (-3)(c) + (13) (3) с -12 0 AB -3c 39 1 now, it is known that AB = I so, 0 с -12 1 0 -3c 39 1 0 1

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