Given that A=5 7 3 1 5 23 2 1and A³ -KA²+lA = I; where I is a 3x3 un

1.	Given that A=5 7 3 1 5 23 2 1and A³ -KA²+lA = I; where I is a 3x3 unit matrix, then the value of k+l is
Answer» Given : $A = \left[\begin{array}{ccc}5&7&3\\<klux>1</klux>&5&2\\3&2&1\end{array}\right]$ A³ - KA² + LA = I To Find : K + L Solution: $A = \left[\begin{array}{ccc}5&7&3\\1&5&2\\3&2&1\end{array}\right]$ $A^2 = \left[\begin{array}{ccc}41&76&32\\16&36&15\\20&33&14\end{array}\right]$ $A^3 = \left[\begin{array}{ccc}377&731&307\\161&322&135\\175&333&140\end{array}\right]$ $I = \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ 377 - K41 + L5 = 1 => 41K - 5L = 376 => 287K - 35L = 2632 731 - 76K + L7 = 0 => 76Kk - 7L = 731 => 380K - 35L = 3655 => 93K = 1023 => K= 11 => L= 15 K + L = 11 + 15 = 26 Learn More: MATRICESIf A and B are matrices of order 3 × and × 5 respectively ... brainly.in/question/25340632 brainly.in/question/23969993