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(Solved): Let T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find T ...

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Let

T

be a linear transformation from

R^{2}

into

R^{2}

such that

T (1, 0) = (1, 1)

and

T (0, 1) = (- 1, 1)

. Find

T (3, 1)

and

T (1, - 7)

T (3, 1) =

T (1, - 7) =

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We know that (1,0) and (0,1) vectors form a basis of .
First, we express (3,1) as a linear combinat...

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