Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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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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