Determine if a linear transformation function is T:M_(33), T(A)=[[0,0,1],[0,1,0],[1,0,0]]A

Tabansi

Tabansi

Answered question

2020-11-10

Determine if a linear transformation function is
T:M33,
T(A)=[001010100]A

Answer & Explanation

Cullen

Cullen

Skilled2020-11-11Added 89 answers

Calculation:
The function is defined as,
T(A)=[001010100]A
Assume two general matrix A=[a11a12a13a21a22a23a31a32a33]andB=[b11b12b13b21b22b23b31b32b33].
Then A+B=[a11+b11a12+b12a13+b13a21+b21a22+b22a23+b23a31+b31a32+b32a33+b33]
cA=[ca11ca12ca13ca21ca22ca23ca31ca32ca33]
The function ia a linear transformation if it satisfies the the two properties as mentioned in the approach part.
Compute T(A + B) and T(A) + T(B) as,

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