Write X = [4 1; -2 0] as a product X = E1E2E3 of elementary matrices. E1 = [0 1; 1 0], E2 = [ ; ], E3 = [ ; ].
Added by Wayne V.
Close
Step 1
To do this, we can subtract a multiple of the first row from the second row. Let's say we need to multiply the first row by k and subtract it from the second row to get a 0 in the second row's first column. Then, the first elementary matrix E1 would be: E1 = | 1 Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 74 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let A and B be given by A = Find an elementary matrix E such that EA = B.
Madhur L.
If A and B are 3 x 3 matrices, det(A) = -4, det(B) = -8, then det(AB) = det(3A) = det(A^T) = det(B^{-1}) = det(B^4) =
Piyush Kumar G.
Craig W.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD