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MTH168 Mathematics II

Mathematics IITU Board 2081

Let A = bmatrix 2 & 0 \\ 0 & 2 bmatrix and Define T : R^2 R^2 by T(x) = A x . Find the image under T ( u = bmatrix 1 \\ 3 bmatrix, \, v = bmatrix u \\ u bmatrix ) b) Prove that a map T : R^2 R^2…

20

Let $A = [2002]$

and Define $T : R^{2} \to R^{2}$ by $T (x) = A x$ .

Find the image under $T (u = [1 - 3], v = [u u])$

b) Prove that a map $T : R^{2} \to R^{2}$ defined by $T (x, y) = (x, y)$ is linear.

A worked answer is on its wayMeanwhile, read the Mathematics II notes for this topic.

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