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Consider the following 4 x 4 matrix A: A = 1 0 0 1 3 1 B = STOO 0 3 -2 -1 -3 0 0 5336 Now, let n ≥ 4 and m = n - 4. Then Im is the m x m identity matrix. Consider the n × n matrix B - (4) Note that the 0's listed in the matrix B are actually matrices of all zeros. One will be a 4 x m matrix of all zeros and the other will be a mx 4 matrix of all zeros. Find the four fundamental subspaces of B. Explain everything; write out (nearly) every thought you have in a logical progression. Use complete sentences and proper grammar.

Consider the following 4 x 4 matrix A: A = 1 0 0 1 3 1 B = STOO 0 3 -2 -1 -3 0 0 5336 Now, let n ≥ 4 and m = n - 4. Then Im is the m x m identity matrix. Consider the n × n matrix B - (4) Note that the 0's listed in the matrix B are actually matrices of all zeros. One will be a 4 x m matrix of all zeros and the other will be a mx 4 matrix of all zeros. Find the four fundamental subspaces of B. Explain everything; write out (nearly) every thought you have in a logical progression. Use complete sentences and proper grammar.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Consider the following 4 x 4 matrix A: A = 0 1 3 0 3 5 -3 ܐ -2 -1 1 0 3 0 0 6 Now, let n ≥ 4 and m = n - 4. Then Im is the m x m identity matrix. Consider the nx n matrix B 0 (AL). B = Note that the 0's listed in the matrix B are actually matrices of all zeros. One will be a 4 x m matrix of all zeros and the other will be a m × 4 matrix of all zeros. Find the four fundamental subspaces of B. Explain everything; write out (nearly) every thought you have in a logical progression. Use complete sentences and proper grammar.
Transcribed Image Text:Consider the following 4 x 4 matrix A: A = 0 1 3 0 3 5 -3 ܐ -2 -1 1 0 3 0 0 6 Now, let n ≥ 4 and m = n - 4. Then Im is the m x m identity matrix. Consider the nx n matrix B 0 (AL). B = Note that the 0's listed in the matrix B are actually matrices of all zeros. One will be a 4 x m matrix of all zeros and the other will be a m × 4 matrix of all zeros. Find the four fundamental subspaces of B. Explain everything; write out (nearly) every thought you have in a logical progression. Use complete sentences and proper grammar.
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