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You can put this solution on YOUR website!
How do you multiply this set of matrices?\r\n" );
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document.write( "[5 4 8] \/ {-8 6} \r\n" );
document.write( "[3 -4 -2] /\ { 0 -2}\r\n" );
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document.write( "The first matrix is a 2x3 and the second one is a 2x2.\r\n" );
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document.write( "You can only multiply an n×m matrix on the left by an\r\n" );
document.write( "m×p matrix on the right.\r\n" );
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document.write( "The inner two dimensions must match or you can't\r\n" );
document.write( "multiply them:\r\n" );
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document.write( "Examples:\r\n" );
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document.write( "A 5×8 matrix on the left CAN be multiplied by an 8×4 \r\n" );
document.write( "matrix on the right because the two inner dimensions\r\n" );
document.write( "are both the same, namely 8.\r\n" );
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document.write( "An 8×4 matrix on the left CANNOT be multiplied by an 5×8 \r\n" );
document.write( "matrix on the right because the two inner dimensions\r\n" );
document.write( "are not the same, one being 4 and the other 5.\r\n" );
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document.write( "A 5×8 matrix on the left CAN be multiplied by an 8×4 \r\n" );
document.write( "matrix on the right because the two inner dimensions\r\n" );
document.write( "are both the same, namely 8.\r\n" );
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document.write( "An 6×4 matrix on the left CAN be multiplied by an 4×1 \r\n" );
document.write( "matrix on the right because the two inner dimensions\r\n" );
document.write( "are both the same, namely 4.\r\n" );
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document.write( "In your case, you CANNOT multiply them because you\r\n" );
document.write( "have a 2×3 on the left and a 2×2 matrix on the\r\n" );
document.write( "right, and the inner dimensions, 3 and 2, do not match.\r\n" );
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document.write( "Now if you had those two matrices reversed, you\r\n" );
document.write( "COULD multiply them, for then you'd have a 2×2 matrix\r\n" );
document.write( "on the left and a 2×3 on the right and the inner \r\n" );
document.write( "dimensions would both equal 2. \r\n" );
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document.write( "[-8 6] \/ {5 4 8} \r\n" );
document.write( "[ 0 -2] /\ {3 -4 -2}\r\n" );
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document.write( "then the answer would have been this 2×3 matrix\r\n" );
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document.write( "[-22 -56 -76]\r\n" );
document.write( "[ -6 8 4]\r\n" );
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document.write( "If you need to learn how to multiply two matrices\r\n" );
document.write( "when they CAN be multiplied, repost asking how.\r\n" );
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document.write( "Edwin\r\n" ); document.write( "
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