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Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
3x – 2y + 2z – w = 2
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Solve the system of equations using matrices. Use Gauss-Jordan elimination.
3x – 7 – 7z = 7
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Find the product AB, if possible.
A =
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Use Cramer’s rule to solve the system. 2x + 4y – z = 32 x – 2y + 2z = -5 5x + y + z = 20
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Find the products AB and BA to determine whether B is the multiplicative inverse of A.
A =  , B =
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Let A =
 and B = . Find A – 3B.
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Find the inverse of the matrix, if possible.
A =
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Let B = [-1 3 6 -3]. Find -4B.
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Evaluate the determinant.
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Give the order of the matrix, and identify the given element of the matrix.
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Find the product AB, if possible.
A =  , B =
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Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
x + y + z = 9
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Find the products AB and BA to determine whether B is the multiplicative inverse of A.
A =
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Solve the matrix equation for X.
Let A =
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, 
)}
, 
, 6)}
, 0, –
, 
)}
, B =
; a12
+ 
, 
+ 
, z)}
+ 
, B =
and B =
; 4X + A = B
