16. Matrix Properties. Consider the following matrices: 2 0 1 5 0 1 1 -2 A = 3 1 -1 В 2 3-1 C = 2 3 -1 2 1 -2 3 4 0 1 2 Verify that (a) A(BC) = (AB)C %3D (b) (AB)" = BT AT (c) A(B+C) = AB+ AC

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16. Matrix Properties. Consider the following matrices:<br>2 0<br>1<br>5 0<br>1 1 -2<br>A =<br>3 1<br>-1<br>В<br>2 3-1<br>C =<br>2 3<br>-1 2<br>1<br>-2 3<br>4<br>0 1<br>2<br>Verify that<br>(a) A(BC) = (AB)C<br>%3D<br>(b) (AB)

Extracted text: 16. Matrix Properties. Consider the following matrices: 2 0 1 5 0 1 1 -2 A = 3 1 -1 В 2 3-1 C = 2 3 -1 2 1 -2 3 4 0 1 2 Verify that (a) A(BC) = (AB)C %3D (b) (AB)" = BT AT (c) A(B+C) = AB+ AC

Jun 05, 2022

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16. Matrix Properties. Consider the following matrices: 2 0 1 5 0 1 1 -2 A = 3 1 -1 В 2 3-1 C = 2 3 -1 2 1 -2 3 4 0 1 2 Verify that (a) A(BC) = (AB)C %3D (b) (AB)" = BT AT (c) A(B+C) = AB+ AC

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