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Asked Feb 3, 2020
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The qestion in the picture is a linear algebra/differential equations question:

 

(b) How many 2 × 2 matrices A = (aij) are there where each ai; is an integer, and tr(AAT) = 2?
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(b) How many 2 × 2 matrices A = (aij) are there where each ai; is an integer, and tr(AAT) = 2? %3D %3D

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Expert Answer

Step 1

Given

Advanced Math homework question answer, step 1, image 1
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Step 2

Find the number of matrices such that

Advanced Math homework question answer, step 2, image 1
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Step 3
Advanced Math homework question answer, step 3, image 1
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