1. Let A =
and B =
find A2 + AB + B2.
Help me in matrix
Answers
Answer:
[ 4 9
5 4 ]
Step-by-step explanation:
A² = AA = [ 1 0 × [ 1 0
2 1 ] 2 1 ]
= [ 1+0 0+0
2+2 0+1 ]
= [ 1 0
4 1 ]
AB = [ 1 0 × [ 2 3
2 1 ] -1 0 ]
= [ 2+0 3+0
4-1 6+0 ]
= [ 2 3
3 6 ]
B² = BB = [ 2 3 × [ 2 3
-1 0 ] -1 0 ]
= [ 4-3 6+0
-2+0 -3+0 ]
= [ 1 6
-2 -3 ]
A²+ AB+B² = [ 1 0 + [ 2 3 + [ 1 6
4 1 ] 3 6 ] -2 -3 ]
= [ 4 9
5 4 ]
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Answer:
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