1.4.7 Matrix Transformations

Condition: Data: \ (A = \ LEFT (\ Begin {Array} {CCC} 1 & 4 & 4 & 4 & 4 & 2 & 2 & 2 & 2 & -3 \\ 1 & -1 & 1 OL \ END {Array} \ RIGHT), B = \ Left (\ begin {array} {c} -12 \\ -4 \\ 13 \\ 1 \ End {Array} \ Right) \). Orthogonalize the columns of the matrix \ (a \) and find the pseudo -regulation of the system \ (a x = b \).