Q25Please provide justified answer asap to get a upvote Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer.T(X₁₁X2 X3 X4) = (x₁ + x2,0,X3 + X4 X3 +X4)a. Is the linear transformation one-to-one?OA. T is one-to-one because the column vectors are not scalar multiples of each other.OB. T is one-to-one because T(x) = 0 has only the trivial solution.OC. T is not one-to-one because the standard matrix A has a free variable.OD. T is not one-to-one because the columns of the standard matrix A are linearly independent.b. Is the linear transformation onto?OA. T is onto because the columns of the standard matrix A span R4."B. T is not onto because the second row of the standard matrix A is all zeros.OC. T is onto because the standard matrix A does not have a pivot position for every row.OD. T is not onto because the columns of the standard matrix A span R4....CS Scanned with CamScanner

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Determine if the specified linear transform T(X₁ X2 X3 X4) = (x₁ + x₂,0₁X3 + X₁₁X_ a. Is the linear transformation one-to-one OA. T is one-to-one because the colum OB. T is one-to-one because T(x)=0 H OC. T is not one-to-one because the st OD. T is not one-to-one because the co b. Is the linear transformation onto? OA. T is onto because the columns of t OB. T is not onto because the second m OC. T is onto because the standard ma OD. T is not onto because the columns

Determine if the specified linear transform T(X₁ X2 X3 X4) = (x₁ + x₂,0₁X3 + X₁₁X_ a. Is the linear transformation one-to-one OA. T is one-to-one because the colum OB. T is one-to-one because T(x)=0 H OC. T is not one-to-one because the st OD. T is not one-to-one because the co b. Is the linear transformation onto? OA. T is onto because the columns of t OB. T is not onto because the second m OC. T is onto because the standard ma OD. T is not onto because the columns

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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