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Please answer all the parts to this question. Please show all steps. Please write a legible solution.

3) Let A be an m \times n matrix, and let B be an invertible m X m matrix. Does multiplying A on the left by B change the kernel of the associated linear transformation? Does it change the image? In other words,

a) Is NA-NBA? Explain.

b) Is RBA? Explain.




m X m


NA-NBA
RBA
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Answer #1

a. Het xe NGA LA (X) = AX 勿 RBA = ВA

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