Consider the matrices 1 -1 2 -4 A = 2 1 and BA= 3 -7 -1 1 4 1 (a) to find A-'. Show that A is non-singular (invertible) and then use the method of cofactors (b) (c) Use part(a) to find the matrix B. Use parts (a) and (b) to calculate det(3A²B").

Consider the matrices 1 -1 2 -4 A = 2 1 and BA= 3 -7 -1 1 4 1 (a) to find A-'. Show that A is non-singular (invertible) and then use the method of cofactors (b) (c) Use part(a) to find the matrix B. Use parts (a) and (b) to calculate det(3A²B").

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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Consider the matrices
1
-1
2 -4
-1
A
1
and BA
3 -7
-1
1
4
1
(a)
to find A-1.
Show that A is non-singular (invertible) and then use the method of cofactors
(Ъ)
(c)
Use part(a) to find the matrix B.
Use parts (a) and (b) to calculate det(3A² BT).

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