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.
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.
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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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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