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A = 1 -1 1 1 0-1 0 0-1] 0 1 -1 0 0 1-

A = 1 -1 1 1 0-1 0 0-1] 0 1 -1 0 0 1-

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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Question

Find the rank of A.

Find basis for Col A and Row A

Let T: R4->R4 be the linear transformation defined by T(x) = Ax. Determine whether T is one to one and onto.

A = 1 -1 1 0 0 -1 0 0 1 -1 0 -1 1 Toi 1 −1
Transcribed Image Text:A = 1 -1 1 0 0 -1 0 0 1 -1 0 -1 1 Toi 1 −1
Expert Solution
Step 1

The given matrix A=1-10-1-111000-11001-1.

Given that T:ℝ4→ℝ4 be the linear transformation defined by Tx=Ax.

We have to find rank of A, basis for column of A and basis for row of A.

Also check whether T is one to one and onto.

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