Elementary Row Operations

Topic Page

Questions

• What are eigenvalues?
• Do elementary row operations change eigenvalues?
• What are the elementary row operations of matrices?
• What is a matrix transpose?
• How do I perform matrix multiplication?
• How do I find the eigenvalues of a #2xx2# matrix?
• How do you find the #LU# factorization for #tildeA = [(1,0),(-3,1)]# such that #tildeL# is unit diagonal?
• How do you factor #((1, 2, -3), (0, 1, 3), (0, 0, 1))# into a product of elementary matrices?
• How do you perform the row operation #R_2-> R_3# given #[(4,-1,6,-8), (2,4,7,3), (8,1,-9,-2)]#?
• Find the matrix A (in terms of B, C, and D)?