Course: Linear Algebra
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Let $T : R^{3} ? R^{3}$ be a linear transformation defined by $T ? ? ? ? x y z ? ? ? ? = ? ? ? x + y + 2 z 3 y + z x ? z ? ? .$ 1. Find the matrix representation of $T$ relative to the standard basis of $R^{3}$ . 2. Determine whether $T$ is one-to-one. 3. Find $T ([1 ? 2 7]^{T})$ using the matrix representation of $T$ .

Question

Course: Linear Algebra
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Let

T : R^{3} ? R^{3}

be a linear transformation defined by

T ? ? ? ? x y z ? ? ? ? = ? ? ? x + y + 2 z 3 y + z x ? z ? ? .

1. Find the matrix representation of

T

relative to the standard basis of

R^{3}

. 2. Determine whether

T

is one-to-one. 3. Find

T ([1 ? 2 7]^{T})

using the matrix representation of

T

.

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Expert Answer to - Course: Linear Algebra please show all working. Thank you!        Let T:R3R3 be a linear transfor

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Solution for - Course: Linear Algebra please show all working. Thank you!        Let T:R3R3 be a linear transfor

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This an additional answer to - Course: Linear Algebra please show all working. Thank you!        Let T:R3R3 be a linear transfor

(Solved): Course: Linear Algebra please show all working. Thank you! Let T:R3R3 be a linear transfor ...