Which of the following types of matrices are always diagonalizable? Select one or more: O a. the matrix of a rotation about the origin in R? O b. The 0 matrix, (i.e. a matrix all of whose entries are 0) O c. the matrix of an orthogonal projection O d. Symmetric matrices O e. A 3x3 matrix with 3 distinct eigenvalues.

Q: TRUE or FALSE: If A, B, C are square matrices such that CA = CB, then A = B. TRUE FALSE

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Q: Can you provide one image or figure of the hermitian matrix?

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Q: elementary

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Q: Let A, B be  matrices of the same order. Then det(A+B)=det(A) + det(B).  True or false

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Q: Show that the inverse of an invertible lower triangular matrix is lower triangular

A: Given : The matrix A is an invertible lower triangular matrix Then we have to show that A-1 is…

Q: why is the matrix like that?

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Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: Let A and B be square matrices of the same size. (a) Prove that if A and B are both diagonal, then…

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Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: Define Similar Matrices.

A: Similar Matrices: Let A and B are two square matrices, then A is said to be similar to B if there…

Q: Let A and B be n × n matrices and assume that columns of B are linearly dependent. Show that columns…

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