​ (a) If |(x,1)(1,x)| = 15 Then find the value of x. ​(b) Solve the following system of equations 3x – 2y + 3z = ?, 2x + y – z = 1

Question

(a) If \( \begin{vmatrix} x & 1 \\ 1 & x \\ \end{vmatrix} \) = 15 Then find the value of x.

(b) Solve the following system of equations 3x – 2y + 3z = ?, 2x + y – z = 1 4x – 3y + 2z = 4

Answer 1

(a) x² -1 = 15 ⇒ x² ⇒ 16 ⇒ x  = ± 4

(b) Matrix form is