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1a) Find matrices A, X, and b that express the given system of linear equations
as a single matrix equation AX = b and write out this matrix equation:
x+y + z = 5
x+y -4z =10
-4x+y + z = 0
b) Compute the inverse of the coecient matrix A and use it to fi nd the solution of the above linear system.
2) Find all values of a for which the following matrix is invertible
a 1 0
1 a 1
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