T,(x,y,z) = (x+y ,x- y,z) T2(x,y, z) = (x + z,-y) a) Find standard matrices of T1 and T2. b) Are T1 and T2 linear transformations? c) Is T2 0 T1 a linear transformation? Find standard matrix for T2 o T1.

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Chapter7: Eigenvalues And Eigenvectors
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Q.No.4.
T,(x,y, z) = (x +y ,x - y ,z)
T2(x,y, z) = (x+ z,-y)
a) Find standard matrices of T1 and T2.
b) Are T1 and T2 linear transformations?
c) Is T20 T1 a linear transformation? Find standard matrix for T2 o T1.
Transcribed Image Text:Q.No.4. T,(x,y, z) = (x +y ,x - y ,z) T2(x,y, z) = (x+ z,-y) a) Find standard matrices of T1 and T2. b) Are T1 and T2 linear transformations? c) Is T20 T1 a linear transformation? Find standard matrix for T2 o T1.
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