document.write( "Question 698435: I have so much trouble with matrices, I wish I could be better at them. I'm trying to solve the system.\r
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document.write( "I have the system:
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document.write( "{3x + 2y = -6
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document.write( "{2x - 3y = 61\r
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document.write( "I converted the system into a matrix equation:
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document.write( "|3, 2|
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document.write( "|2,-3|\r
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document.write( "Find the determinate:
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document.write( "(3*-3)-(2*2)
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document.write( "-13\r
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document.write( "So since I got -13, it would appear as 1/-13. right?
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document.write( "After getting that, I changed matrix equation into:
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document.write( "|-3,-2|
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document.write( "|-2, 3|\r
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document.write( "And I'm stuck here. It's probably hard to comprehend what I'm trying to say, but please help me with the rest of the problem. \n" );
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Algebra.Com's Answer #430653 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! I have so much trouble with matrices, I wish I could be better at them. I'm trying to solve the system.\r \n" ); document.write( "\n" ); document.write( "I have the system: \n" ); document.write( "{3x + 2y = -6 \n" ); document.write( "{2x - 3y = 61\r \n" ); document.write( "\n" ); document.write( "I converted the system into a matrix equation: \n" ); document.write( "|3, 2| \n" ); document.write( "|2,-3|\r \n" ); document.write( "\n" ); document.write( "Find the determinate: (determinant) \n" ); document.write( "(3*-3)-(2*2) \n" ); document.write( "-13\r \n" ); document.write( "\n" ); document.write( "So since I got -13, it would appear as 1/-13. right? *** Doesn't matter. \n" ); document.write( "After getting that, I changed matrix equation into: \n" ); document.write( "|-3,-2| \n" ); document.write( "|-2, 3| **** that's not useful. \n" ); document.write( "================================= \n" ); document.write( "Use the augmented matrix. \n" ); document.write( "|3, 2 6| \n" ); document.write( "|2,-3 -61| \n" ); document.write( "------------ \n" ); document.write( "Block the x column \n" ); document.write( "|+2 6| \n" ); document.write( "|-3 -61| \n" ); document.write( "--> 2*-61 + 18 = -104 \n" ); document.write( "x = -104/Det = 8 \n" ); document.write( "=================== \n" ); document.write( "|3, 2 6| \n" ); document.write( "|2,-3 -61| \n" ); document.write( "Block the y column \n" ); document.write( "|3 6| \n" ); document.write( "|2,- 61| \n" ); document.write( "--> 3*-61 - 12 = 195 \n" ); document.write( "-y = -195/-13 (not the minus sign) \n" ); document.write( "y = -15 \n" ); document.write( "=================== \n" ); document.write( "And I'm stuck here. It's probably hard to comprehend what I'm trying to say, but please help me with the rest of the problem. \n" ); document.write( " |