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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 × n matrix A is a product of elementary matrices then the transpose of A, ATr, is a product of elementary matrices.
Transcribed Image Text: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 × n matrix A is a product of elementary matrices then the transpose of A, ATr, is a product of elementary matrices.
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