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If X[(-7,2),(0,-5)]=[(2,-3),(5,4)],then ...

If `X[(-7,2),(0,-5)]=[(2,-3),(5,4)]`,then X

A

`[(-(2)/(7),-(3)/(4)),(0,-(5)/(4))]`

B

`[(-(7)/(2),-(2)/(3)),(0,-(4)/(5))]`

C

`[(-(2)/(7),(17)/(35)),(-(5)/(7),-(38)/(351))]`

D

`[(-14,-6),(0,-20):}]`

Text Solution

Verified by Experts

The correct Answer is:
C
To find X, multiply both sides of the equation by `[(-7,2),(0,-5)]^(-1)` on the right. Enter
both matrices in your calculator, key the product
`[(2,-3),(5,4)][(-7,2),(0,-5)]^(-1)` on your graphing calculator, and key MATH/ENTER/ENTER to convert the decimal answer to a fraction.
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