MAT 272 Assignment 1 - solutions - x 3 or 7 Show that in...

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MAT 272 Assignment #1 Due: September 15, 2009 1) Write the following system of equations as an augmented matrix. 2) Write the system of equations described by this augmented matrix. 3) Convert to reduced row echelon form using row operations.
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4) Solve the following system. The augmented matrix is which reduces to . So x 1 = x 4 – 1 and x 2 = 2 x 3 or 5) Solve the following system. The augmented matrix is which reduces to . Since the last column has a pivot, the system is inconsistent and has no solution. 6) Solve the following system. The augmented matrix is which reduces to . So x 1 = 0 and x 2 = -3
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Unformatted text preview: x 3 , or . 7) Show that in order for the system below to be consistent, a , b , and c must satisfy c=a+b . The augmented matrix is which reduces to . In order for the system to be consistent the last row must be all 0’s, so a + b –c = 0 or c = a + b. 8) Let a and b be constants. Solve the following system. The augmented matrix is which reduces to . So . 9) Solve the following system of linear equations for the angles , and where , and . Let x 1 = sin( ), x 2 = cos( ) and x 3 = tan( ), then or which reduces to So sin( ) = 1, cos( ) = -1, tan( ) = 0 Or , and...
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MAT 272 Assignment 1 - solutions - x 3 or 7 Show that in...

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