10. Consider the following two 3 x 3 matrices -1 3 3 -2 -1 -2-2 1 (a) (6 AB (b) ( A = and 2 B = s) Confirm that B is the inverse matrix of A by finding the multiplications and BA. ( 2x2 20 3 1 -1 -2 0 1 -1 Re-write the following linear system as a matrix equation -1 + 3x2 + 3x3 = 17 x1 2x2 X3 = -6 2x3 = -11 x1 - (c) () Solve the linear system in part (b) using the matrix method.
10. Consider the following two 3 x 3 matrices -1 3 3 -2 -1 -2-2 1 (a) (6 AB (b) ( A = and 2 B = s) Confirm that B is the inverse matrix of A by finding the multiplications and BA. ( 2x2 20 3 1 -1 -2 0 1 -1 Re-write the following linear system as a matrix equation -1 + 3x2 + 3x3 = 17 x1 2x2 X3 = -6 2x3 = -11 x1 - (c) () Solve the linear system in part (b) using the matrix method.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 14E: Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.
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Transcribed Image Text:10. Consider the following two 3 x 3 matrices
-1 3 3
-2 -1
1
-2 -2
A =
(b) (
1
and B =
(a) (6 s) Confirm that B is the inverse matrix of A by finding the multiplications
AB and BA. (
2 0 3
1 -1 -2
0 1 -1
Re-write the following linear system as a matrix equation
-1 + 3x2 + 3x3 = 17
X1
2x2
X3 = -6
2x2
2x3
=
x1
-11
+11
(c) () Solve the linear system in part (b) using the matrix method.
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