Let kER and let A = -10k + 6 -25k + 15 4k - 2 10k (a) Verify that A² = A. Show your calculations. (b) With A as above, suppose that y is a vector in R2 such that the equation Ax = y has a solution x E R2. Show that Ay = y.

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Let kER and let
A =
-10k + 6
-25k + 15
4k - 2
10k
(a) Verify that A² = A. Show your calculations.
(b) With A as above, suppose that y is a vector in R2 such that the
equation Ax = y has a solution x E R2. Show that Ay = y.
Transcribed Image Text:Let kER and let A = -10k + 6 -25k + 15 4k - 2 10k (a) Verify that A² = A. Show your calculations. (b) With A as above, suppose that y is a vector in R2 such that the equation Ax = y has a solution x E R2. Show that Ay = y.
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