Composition of Linear transformation & Matri Multiplication
3 important questions on Composition of Linear transformation & Matri Multiplication
What are some properties of the composition of linear transformations?
-T(U1+U2)= TU1 + TU2
-(U1+U2)T= U1T + U2T
-T(U1U2)=(TU1)U2
-TI=IT=T
-a(U1U2)=(aU1)U2=U1(aU2)
What are properties of multiplication of linear transformations?
And T: V->W, U:W->Z are linear transformations
Then the matrix representation of UT with respect to alpha and gamma is [U]beta, gamma [T]alpha, beta
What is associativity of matrix multiplication?
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