Solution Found!
In Example 5 of Section 2.1, the mapping T: M2x2(i) > M2x2(i) defined by T(M) = Ml for
Chapter 2, Problem 19(choose chapter or problem)
In Example 5 of Section 2.1, the mapping T: M2x2(i?) > M2x2(i?) defined by T(M) = Ml for each M e M2x2(i?) is a linear transformation. Let 0 = {EU ,E12 , E21,E22}, which is a basis for M2x2(R), as noted in Example 3 of Section 1.6. (a) Compute [Tj/3. (b) Verify that LAM M ) = ^T(M ) for A = [T]^ and / M = 1 2 3 4
Questions & Answers
QUESTION:
In Example 5 of Section 2.1, the mapping T: M2x2(i?) > M2x2(i?) defined by T(M) = Ml for each M e M2x2(i?) is a linear transformation. Let 0 = {EU ,E12 , E21,E22}, which is a basis for M2x2(R), as noted in Example 3 of Section 1.6. (a) Compute [Tj/3. (b) Verify that LAM M ) = ^T(M ) for A = [T]^ and / M = 1 2 3 4
ANSWER:Step 1 of 6
The mapping is defined by
Let
To compute .
First, let us compute .