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Question Find the following given the matrices. A -8-4 14 5 - 2 3 1 1 wherez and z are unknown values. -3 2-15 -1 I -4-10 4-3 19 -7 and C= 8-1 4 -1 5 1 ] 2 a) Use matrix multiplication to find BA. Show your working. b) What values of x (if any) will make the matrix product BA, found in part (a) equal to an identity matrix? Check your result by substitution (if there is solution). c) Find det C in terms of z by expanding along any column. For what value of z will the matrix C be singular? Show your working.

Question Find the following given the matrices. A -8-4 14 5 - 2 3 1 1 wherez and z are unknown values. -3 2-15 -1 I -4-10 4-3 19 -7 and C= 8-1 4 -1 5 1 ] 2 a) Use matrix multiplication to find BA. Show your working. b) What values of x (if any) will make the matrix product BA, found in part (a) equal to an identity matrix? Check your result by substitution (if there is solution). c) Find det C in terms of z by expanding along any column. For what value of z will the matrix C be singular? Show your working.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question Find the following given the matrices. -8-4 1 0060 09 14 5 5 5 2 1 B 3 1 1 where and are unknown values. -3 -1 2-15 -4-10 4-3 19 -7 and C= 8-1 4 0 5 1 -1 z 2 a) Use matrix multiplication to find BA. Show your working. b) What values of x (if any) will make the matrix product BA, found in part (a), equal to an identity matrix? Check your result by substitution (if there is solution). c) Find det C in terms of z by expanding along any column. For what value of z will the matrix C be singular? Show your working.
Transcribed Image Text:Question Find the following given the matrices. -8-4 1 0060 09 14 5 5 5 2 1 B 3 1 1 where and are unknown values. -3 -1 2-15 -4-10 4-3 19 -7 and C= 8-1 4 0 5 1 -1 z 2 a) Use matrix multiplication to find BA. Show your working. b) What values of x (if any) will make the matrix product BA, found in part (a), equal to an identity matrix? Check your result by substitution (if there is solution). c) Find det C in terms of z by expanding along any column. For what value of z will the matrix C be singular? Show your working.
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