(Steps Shown) In the following linear system, determine all values of a for which the resulting linear system has no solution; a unique solution; infinitely
Question: In the following linear system, determine all values of \(a\) for which the resulting linear system has
- no solution;
- a unique solution;
- infinitely many solutions
\[\begin{aligned} & x+y-z=3 \\ & x-y+3z=4 \\ & x+y+\left( {{a}^{2}}-10 \right)z=a \\ \end{aligned}\]
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![[Solution] Let f: R^3 \rightarrow R^3 be](/images/solutions/MC-solution-library-45885.jpg "[Solution] Let f: R^3 \rightarrow R^3 be a matrix transformation")
[Solution] Let f: R^3 \rightarrow R^3 be a matrix transformation
![[Solution Library] For the matrix A=[cccc1 1](/images/solutions/MC-solution-library-45886.jpg "[Solution Library] For the matrix A=[cccc1 1 2 1 , 0 -2 0 0 ,")
[Solution Library] For the matrix A=[cccc1 1 2 1 , 0 -2 0 0 ,
(Solution Library) Solve the following linear system: 2 x+8 y-z+w=0
![[Solution Library] Let T be the triangle](/images/solutions/MC-solution-library-45888.jpg "[Solution Library] Let T be the triangle with vertices (-1,-2),(-5,-6),")
[Solution Library] Let T be the triangle with vertices (-1,-2),(-5,-6),
(Solution Library) Use the confidence level and sample data to find
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