document.write( "Question 1175799: Given the matric A= -1 3 find A^3
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\n" ); document.write( "1*-1+3*0+-1*3+3*2 -1*-1+3*0+-1*3+3*2 = 1 3
\n" ); document.write( "0*-1+2*0+2*3+2*2 0-*1+2*0+2*3+2*2 0 10 \n" ); document.write( "

Algebra.Com's Answer #801494 by Alan3354(69443) $\"\"$ $\"About$

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Given the matric A= -1 3 find A^3
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\n" ); document.write( "A*A = B
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document.write( "|-1 3|  |-1 3|   |a b|\r\n" );
document.write( "| 0 2|* | 0 2| = |c d|\r\n" );
document.write( "---\r\n" );
document.write( "a = -1*-1+3*0 = 1\r\n" );
document.write( "b = -1*3+3*2 = 3\r\n" );
document.write( "c = 0*-1+2*0 = 0\r\n" );
document.write( "d = 0*3+2*2 = 4\r\n" );
document.write( "----\r\n" );
document.write( "B = |1 3|\r\n" );
document.write( "    |0 4|\r\n" );
document.write( "--------------\r\n" );
document.write( "A*B = |-1 3| |1 3|   |e f|\r\n" );
document.write( "      | 0 2|*|0 4| = |g h|\r\n" );
document.write( "----\r\n" );
document.write( "e = -1*1+3*0 = -1\r\n" );
document.write( "f = -1*3+3*4 = 9\r\n" );
document.write( "g = 0*1+2*0 = 0\r\n" );
document.write( "h = 0*3+2*4 = 8\r\n" );
document.write( "----\r\n" );
document.write( "|-1 9|\r\n" );
document.write( "| 0 8| = A^3\r\n" );
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