Consider a 22 matrix A= a b d (a) If a=-1,b=0,c=0,d=-2 Perform the following calculations....

Transcribed Image Text:

Consider a 2×2 matrix A= a b с d (a) If a=-1,b=0,c=0,d=-2 Perform the following calculations. Calculate its full SVD (that is, find its U, Σ, V); Show that U is an unitary matrix; Find the null-space, range, rank and condition number of matrix A; (b) If a=1000,b=0,c=0,d=1 Use a low rank approximation (using rank r =1), to form a new matrix B, please calculate the Frobenius norm of (A-B). Consider a 2×2 matrix A= a b с d (a) If a=-1,b=0,c=0,d=-2 Perform the following calculations. Calculate its full SVD (that is, find its U, Σ, V); Show that U is an unitary matrix; Find the null-space, range, rank and condition number of matrix A; (b) If a=1000,b=0,c=0,d=1 Use a low rank approximation (using rank r =1), to form a new matrix B, please calculate the Frobenius norm of (A-B).