quiz1

# quiz1 - 0 0 1 2 B b 0 1 2 3 0 0 0 0 0 1 B 1 3 3 0 0 0 0 0 0...

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MAS 3105 Quiz 1 September 2, 2010 1 a) Write down the 3 × 3 matrix A such that for each index i and j , the ( i,j )-entry of A is i - j . b) Determine whether A is diagonal, symmetric, and/or skew-symmetric. 2) Each matrix below represents the RREF form of an augmented matrix [ A b ] that came from a system of equations A x = b . For each matrix, determine if the system is consistent or inconsistent, and if the system is consistent, find the solution set for the system of equations. bracketleftBigg 1 1 0 3 0 0 1 2 bracketrightBigg
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Unformatted text preview: 0 0 1 2 B b 0 1 2 3 0 0 0 0 0 1 B 1 3 3 0 0 0 0 0 0 3) Multiply! It’s fun! 1-1 0 1 1 2 1 3 a b c 4) Determine the linear combination of vectors in S that gives the vector u . u = -1 4 3 S = 1 1 , 1 2 1 , 1...
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