16 If matrix A=2-33 4, then show that A2 6A + 17I = 0 and hence - Maths - Matrices

Question

16 If matrix A = 2 - 3 3     4 , then show that
A2 – 6A + 17I = 0 and hence find
A–1
17 If matrix A = 2   3 1   2 , then show that
A2 – 4A + I = 0 and hence find
A–1

Hari Shankar · Accepted Answer

16. If matrix A = 2 - 3 3 4 , then show that A2 – 6A + 17I = 0 and hence find A–1. 17. If matrix A = 2 3 1 2 , then show that A2 – 4A + I = 0 and hence find A–1.

16. If matrix $A = [\begin{matrix} 2 & - 3 \\ 3 & 4 \end{matrix}]$ , then show that A² – 6A + 17I = 0 and hence find A^–1.
17. If matrix $A = [\begin{matrix} 2 & 3 \\ 1 & 2 \end{matrix}]$ , then show that A² – 4A + I = 0 and hence find A^–1.