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10 Nov 2019
Solve this equation in matrix algebra for X explaining what you are doing at each simplification step: 3(BA + AX) = A + CT What sizes must the matrices be if A is m times n? Which matrices need to have inverses for X to have a unique solution? How does wanting a unique solution affect the sizes of each matrix? Using the following matrices, substitute them into your solution for (a) and hence find X (which should also all integers). A:= , B:= , C:= , We will be dealing with this matrix in this question: H := Check that (2 3 1) is an eigenvector of H and identify its eigenvalue. Evaluate the determinant of (H - lambda I) by means of a co-factor expansion and factories it (the polynomial should have very small coefficients). Find one other eigenvector of H (if you couldn't get another eigenvalue from (b) ask me for one).
Solve this equation in matrix algebra for X explaining what you are doing at each simplification step: 3(BA + AX) = A + CT What sizes must the matrices be if A is m times n? Which matrices need to have inverses for X to have a unique solution? How does wanting a unique solution affect the sizes of each matrix? Using the following matrices, substitute them into your solution for (a) and hence find X (which should also all integers). A:= , B:= , C:= , We will be dealing with this matrix in this question: H := Check that (2 3 1) is an eigenvector of H and identify its eigenvalue. Evaluate the determinant of (H - lambda I) by means of a co-factor expansion and factories it (the polynomial should have very small coefficients). Find one other eigenvector of H (if you couldn't get another eigenvalue from (b) ask me for one).
Deanna HettingerLv2
10 Nov 2019