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true or false (you can add explanations) AX=b has a unique solution if AX=0 has a unique solution A is a 5X5 matrix, and has a rank of 4, AX=0 has infinite number of solutions NULL(A) = {0}, AX=b will have no solutions. A is an n X n matrix, the rank(A) = n means AX=b will have a unique solution

true or false (you can add explanations) AX=b has a unique solution if AX=0 has a unique solution A is a 5X5 matrix, and has a rank of 4, AX=0 has infinite number of solutions NULL(A) = {0}, AX=b will have no solutions. A is an n X n matrix, the rank(A) = n means AX=b will have a unique solution

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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true or false (you can add explanations) AX=b has a unique solution if AX=0 has a unique solution A is a 5X5 matrix, and has a rank of 4, AX=0 has infinite number of solutions NULL(A) = {0}, AX=b will have no solutions. A is an n Xn matrix, the rank(A) = n means AX=b will have a unique solution %3D
Transcribed Image Text:true or false (you can add explanations) AX=b has a unique solution if AX=0 has a unique solution A is a 5X5 matrix, and has a rank of 4, AX=0 has infinite number of solutions NULL(A) = {0}, AX=b will have no solutions. A is an n Xn matrix, the rank(A) = n means AX=b will have a unique solution %3D
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