Let: What is the rank of A? What is the matrix norm of A? What are the distances
ID: 2902922 • Letter: L
Question
Let:
What is the rank of A? What is the matrix norm of A? What are the distances from A to the rank 1, rank 2, and rank 3 matrices? Here we always use the matrix norm which corresponds to the Euclidean vector norm.
I have the MATLAB Answers:
rank(A) = 4
norm(A) = 2.4752
I NEED HELP DOING THE HAND COMPUTATIONS - THANK YOU!
Let: What is the rank of A? What is the matrix norm of A? What are the distances from A to the rank 1, rank 2, and rank 3 matrices? Here we always use the matrix norm which corresponds to the Euclidean vector norm. I have the MATLAB Answers: rank(A) = 4 norm(A) = 2.4752 I NEED HELP DOING THE HAND COMPUTATIONS - THANK YOU!Explanation / Answer
Your matrix
Subtract the 1st row from the 2nd row
Multiply the 1st row by -1
Subtract the 1st row from the 3rd row
Subtract the 1st row from the 5th row
Multiply the 1st row by -1
Subtract the 1st row from the 6th row
Divide the 2nd row by -2
Subtract the 2nd row from the 3rd row
Multiply the 2nd row by -1
Subtract the 2nd row from the 4th row and restore it
Multiply the 2nd row by 2
Subtract the 2nd row from the 5th row and restore it
Multiply the 2nd row by -1
Subtract the 2nd row from the 6th row and restore it
Restore the 2nd row to the original view
Subtract the 3rd row from the 5th row and restore it
Multiply the 3rd row by -2
Subtract the 3rd row from the 6th row and restore it
Divide the 4th row by 3/2
Multiply the 4th row by -1/2
Subtract the 4th row from the 5th row and restore it
Multiply the 4th row by 7/2
Subtract the 4th row from the 6th row and restore it
Restore the 4th row to the original view
Calculate the number of linearly independent rows
Matrix rank is 4
? A1 A2 A3 A4 1 1 1 1 1 2 1 -1 1 0 3 -1 0 0 1 4 0 -1 0 1 5 -1 1 0 1 6 1 0 -1 1Related Questions
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