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# Show that a and b are similar matrices by finding an invertible matrix

. Best answer. Matrix calculator. 1 answer `A , B ` are two matrices such that `A B ` and `A+ B ` are both defined; show that `A , B ` are square matrices of the same order. Diagonal matrices are the easiest kind of matrices to understand: they just scale the coordinate directions by their diagonal entries. Assume that A and B are similar.

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. Suppose I have two matrices A=(1 0 ; 1 0) and B=(0 0; 1 1) where A,B are two by two matrices and suppose we know A and B are two similar matrices. . Let A and B be m × n and n × p matrices, respectively, and let E be an m × m elementary matrix. Let fin = axal be any poly nomial if A and B are similar , there is an invertible matrix - Such that B= SAS 4 9 BK E q ISAS n = EarSAKS S ( # (x AK ) s' = Sf/ALS K = Thus PA ) and f(B) are Similar. 6.

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Consider for instance the matrix The matrix B does not have any real eigenvalues, so there is no real matrix Q such that is a diagonal matrix. . . if A is invertible.

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