Solve the system by inverting the coefficient matrix and using Theorem 1.6.2 of the textbook. -x-2y3z = 0 w + x + 4y + 4z = 7 w + 3x + 7y+9z = 4 -w- 2x - 4y - 6z 6 =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CT: Test
Problem 20CT
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3.
(Section 2.3)
Solve the system by inverting the coefficient matrix and using
Theorem 1.6.2 of the textbook.
-x-2y3z = 0
w + x + 4y + 4z = 7
w + 3x + 7y +9z = 4
-w- 2x - 4y6z 6
=
Transcribed Image Text:3. (Section 2.3) Solve the system by inverting the coefficient matrix and using Theorem 1.6.2 of the textbook. -x-2y3z = 0 w + x + 4y + 4z = 7 w + 3x + 7y +9z = 4 -w- 2x - 4y6z 6 =
THEOREM 1.6.2 If A is an invertible n x n matrix, then for each nx 1 matrix b, the
system of equations Ax=b has exactly one solution, namely, x = A¯¹b.
Transcribed Image Text:THEOREM 1.6.2 If A is an invertible n x n matrix, then for each nx 1 matrix b, the system of equations Ax=b has exactly one solution, namely, x = A¯¹b.
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