answer true or false and give an explanation of all parts. 16. T (c)T(d) = T(c+d).17. If the n x n matrix A is a product of elementary matrices then the null space ofA is the n x n zero subspace, null (A) = {On}.18. If the n × n matrix A is a product of elementary matrices then the transpose ofA, ATr, is a product of elementary matrices.

Again and again this question is coming on portal. I am answering question 17 and 18. In 16 notation…

Answered: 16. T (c)T(d) = T (c+d). 17. If the n x…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 50EQ

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16. T (c)T(d) = T (c+d). 17. If the n x n matrix A is a product of elementary matrices then the null space of A is the n x n zero subspace, null(A) = {On}. 18. If the n x n matrix A is a product of elementary matrices then the transpose of A, ATr, is a product of elementary matrices.