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summaryformulastest3 - 10.4 - Cramers Rule - The solution...

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10.4 - Cramer s Rule - The solution to the system of equations: a 11 x + a 12 y + a 13 z = c 1 a 21 x + a 22 y + a 23 z = c 2 a 31 x + a 32 y + a 33 z = c 3 is given by x = D x D , y = D y D , z = D z D where where D = a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 , D x = c 1 a 12 a 13 c 2 a 22 a 23 c 3 a 32 a 33 , D y = a 11 c 1 a 13 a 21 c 2 a 23 a 31 c 3 a 33 , D z = a 11 a 12 c 1 a 21 a 22 c 2 a 31 a 32 c 3 . __________________________________________________________ More on Matrices: Be able to solve systems of equations by (1) applying elementary row operations to the augmented matrix followed by back substitution and (2) using the inverse of the coefficient matrix. Be able to add matrices, multiply a matrix by a scalar, multiply a matrix by another matrix, calculate the determinant, find the inverse and put the matrix in echelon or reduced row echelon form. _______________________________________________________ Arithmetic Sequences A sequence of numbers a 1 , a 2 , a 3
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This note was uploaded on 12/11/2011 for the course MAC 1140 taught by Professor Kutter during the Fall '11 term at FSU.

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summaryformulastest3 - 10.4 - Cramers Rule - The solution...

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