1 M 2 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let 0. 1 0. be an ordered basis for V. a. Write M as a linear combination of elements of C. [1 -6' 0 1 0. 2 -7 1 1...

1<br>M<br>2<br>be a vector in the vector space V of 2 × 2 matrices with real number entries. Let<br>0.<br>1<br>0.<br>be an ordered basis for V.<br>a. Write M as a linear combination of elements of C.<br>[1 -6'<br>0 1<br>0.<br>2 -7<br>1<br>1<br>b. Let [M]c denote the coordinate representation of M relative to the basis C. Find the<br>coordinate vector representation for M relative to the basis C. Your answer should be a<br>vector of the general form <1,2,3,4>.<br>[M]c<br>

Extracted text: 1 M 2 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let 0. 1 0. be an ordered basis for V. a. Write M as a linear combination of elements of C. [1 -6' 0 1 0. 2 -7 1 1 b. Let [M]c denote the coordinate representation of M relative to the basis C. Find the coordinate vector representation for M relative to the basis C. Your answer should be a vector of the general form <1,2,3,4>. [M]c

Jun 04, 2022

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1 M 2 be a vector in the vector space V of 2 × 2 matrices with real number entries. Let 0. 1 0. be an ordered basis for V. a. Write M as a linear combination of elements of C. [1 -6' 0 1 0. 2 -7 1 1...

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