- 5 Let T R R4 Be A Linear Transformation Such That For 7 I1 X2 X3 T F R Then 1 1 3x3 2x1x2 8x3 2x X3 1 (25.78 KiB) Viewed 13 times
5. Let T: R³ R4 be a linear transformation such that for 7= I1 x2 x3 T(F) = € R³, then 1-1₂ + 3x3 2x1x2 + 8x3 -₁ + 2x₂x3
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5. Let T: R³ R4 be a linear transformation such that for 7= I1 x2 x3 T(F) = € R³, then 1-1₂ + 3x3 2x1x2 + 8x3 -₁ + 2x₂x3
5. Let T: R³ R4 be a linear transformation such that for 7= I1 x2 x3 T(F) = € R³, then 1-1₂ + 3x3 2x1x2 + 8x3 -₁ + 2x₂x3 3x14x2 + 5x3 (a) Find the standard matrix, A, of the linear transformation such that T() = Az. ER4 (b) Does T map R³ onto R surjectively? Is the transformation one-to-one (i.e. injective)? Justify your answer.