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

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...

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Question

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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