10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = 1 1 AB and BA. ( and Confirm that B is the inverse matrix of A by finding the multiplications 3 -2 -1 -2 -2 M X₂ Re-write the following linear system as a matrix equation -1 + 3x2 + 3x3 17 X1 2x2 -6 -11 x1 2x2 B = 17 I 3 20 1 42 0 1 -1 x3 2x3 x3 Solve the linear system in part (b) using the matrix method.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 5SE: Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why...
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10. Consider the following two 3 x 3 matrices
-1 3 3
1
-2 -1
1
-2 -2
(b) (
(c)
A =
AB and BA. (
1
1
and
3
-2 -1
-2 -2
Confirm that B is the inverse matrix of A by finding the multiplications
M
X₂
B =
Re-write the following linear system as a matrix equation
17
-1 + 3x2 + 3x3
X1
2x2
-6
x1
2x2
-11
17
I
20
1
0 1
3
+2
-1
x3
2x3
x3
Solve the linear system in part (b) using the matrix method.
Transcribed Image Text:10. Consider the following two 3 x 3 matrices -1 3 3 1 -2 -1 1 -2 -2 (b) ( (c) A = AB and BA. ( 1 1 and 3 -2 -1 -2 -2 Confirm that B is the inverse matrix of A by finding the multiplications M X₂ B = Re-write the following linear system as a matrix equation 17 -1 + 3x2 + 3x3 X1 2x2 -6 x1 2x2 -11 17 I 20 1 0 1 3 +2 -1 x3 2x3 x3 Solve the linear system in part (b) using the matrix method.
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