SOLUTION: Given that A = [2 3] [1 0] and B = [1 4] [0 1], evaluate {{{(A)^2 - AB}}} *I apologize if you do not understand the order of the matrices. Mat

Algebra ->  Matrices-and-determiminant -> SOLUTION: Given that A = [2 3] [1 0] and B = [1 4] [0 1], evaluate {{{(A)^2 - AB}}} *I apologize if you do not understand the order of the matrices. Mat      Log On


   

Question 439447: Given that A = [2 3]
[1 0]
and B = [1 4]
[0 1],
evaluate %28A%29%5E2+-+AB
*I apologize if you do not understand the order of the matrices. Matrix A has two columns and 2 rows. Matrix B also has two columns and two rows.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that A = [2 3]
[1 0]
and B = [1 4]
[0 1],
evaluate %28A%29%5E2+-+AB
-----------------------------------
A^2 = [2*2+3*1...2*3+3*0]
......{1*2+0*1...1*3+0*0]
= [7...6]
..[2...3]
-------------------------------------
AB = [2+0...8+3]
.....[1+0...3+0]
= [2...11]
..[1....3]
====================
A^2+AB = [9...17]
.........[3....6]
===========================
Cheers,
Stan H.