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4. If A or B (or both) is not singular, use the formula to find their inverses. Express the inverse using the proper symbol. B =

4. If A or B (or both) is not singular, use the formula to find their inverses. Express the inverse using the proper symbol. B =

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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4:15 PM Thu Sep 9 * O L 40% + : 4. If A or B (or both) is not singular, use the formula to find their inverses. Express the inverse using the proper symbol. 3 5. Verify that the product of the non-singular matrix and its inverse from the previous problem is I2. Show all of your work.
Transcribed Image Text:4:15 PM Thu Sep 9 * O L 40% + : 4. If A or B (or both) is not singular, use the formula to find their inverses. Express the inverse using the proper symbol. 3 5. Verify that the product of the non-singular matrix and its inverse from the previous problem is I2. Show all of your work.
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(4) Given matrix is A=32−22 and B=36−2−4.

We have to find the inverse of the matrix A and matrix B.

Let A=32−22

detA=6+4=10

Hence, detA=10

Since, detA≠0

Hence, given matrix A is non-singular.

Use formula for inverse, which is given below

A−1=1detAadjA

Here, adjA=−4−623

Substitute the values

Hence, A−1=110−4−623

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