Let T:M2x2 P2 be a linear transformation defined by = a + bx + cx.Which of the following statements is true about T? The range of T is P2 nullity of T is 2 Range of T is spanned by 1 + x and x2 The rank ofT is 2 0 0 Kernel of T is spanned by

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A: We will show that the given transformation is not Linear.

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Q: let T: R3 → R be the linear transformation defined by T(x 1, x 2, x3) = (x 1 - x2 - X3, X1 + 3x, +…

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Q: Let T: M2x2 → P2 is a transformation defined as follows: b 7(₁2)=a+ = a + (b+c) x + (d + C Determine…

A: I have given the answer in the next step. Hope you understand that

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Q: a b = a² + b² (b) c d

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A: Step 1:form the matrix Step 2: convert in echelon form Step 3:try to reduce pivot row and column…

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Q: 1. For the following linear transformation, T, W1 = 3x1 – 6x2 + 2x3 W2 = -2x1 + 4x2 + x3 W3 = X1 -…

A: Given: The linear transformation T, w1 = 3x1 - 6x2 + 2x3w2 = -2x1 + 4x2 + x3w3 = x1 - 2x2 - x3w4 =…

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A: The rank-nullity theorem says :

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