State the Fundamental Theorem of Linear Algebra for A For each of the following four matrices: Rmxn Identify rank(A); Give bases for both the column space R(A) and the null space N(A); . Determine th...
State the Fundamental Theorem of Linear Algebra for A For each of the following four matrices: Rmxn Identify rank(A); Give bases for both the column space R(A) and the null space N(A); . Determine the full singular value decomposition. For some of these matrices you may be able to determine the SVD "by inspection, without needing any calculations: feel free to take advantage of such opportunities when they exist. (ii)-Bil] (ii) A-li%) ] (iii) A=1 1 1 0 ( i)...