Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find
Chapter 4, Problem 65(choose chapter or problem)
Let V be the subspace of R2x2 spanned by the matrices where b ^ 0.a. Compute P2 and find the coordinate vector [^2]s^ where 3^ = (I2, P) . b. Consider the linear transformation T(M) = M P from V to V. Find the 23-matrix B of T. For which matrices P is T an isomorphism? c. If T fails to be an isomorphism, find the image and kernel of T. What is the rank of T in that case?
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