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Question 1 of 5Solve, give the matrix in reduced row echelon form
$$6+6x=-y+z$$ $$-5x=7y+z+10$$ $$-6x-5y=10$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$(0,-2,4)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&0\\ 0&1&0&-2\\ 0&0&1&4 \end{array} \right] $$
B
$$(9,1,-2)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&9\\ 0&1&0&1\\ 0&0&1&-2 \end{array} \right] $$
C
No Solution
D
$$(-5,-2,-1)$$ $$\left[ \begin{array}{ccc|c} 1&1&1&-5\\ 0&1&1&-2\\ 0&0&1&-1 \end{array} \right] $$
E
$$(0,1,-4)$$ $$\left[ \begin{array}{ccc|c} 1&1&1&0\\ 0&1&1&1\\ 0&0&1&-4 \end{array} \right] $$
Question 2 of 5Solve, give the matrix in reduced row echelon form
$$-4x-22=-5y-5z$$ $$-3x-y=9-6z$$ $$-6x-7y+z=-30$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$(2,3,3)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&2\\ 0&1&0&3\\ 0&0&1&3 \end{array} \right] $$
B
No Solution
C
$$(5,9,-7)$$ $$\left[ \begin{array}{ccc|c} 2&0&0&1\\ 0&9&0&0\\ 0&0&-7&1 \end{array} \right] $$
D
$$(6,2,-2)$$ $$\left[ \begin{array}{ccc|c} 1&1&0&6\\ 1&0&0&2\\ 0&0&0&-2 \end{array} \right] $$
E
$$(-5,-5,5)$$ $$\left[ \begin{array}{ccc|c} -5&1&0&0\\ -5&0&1&0\\ 5&0&0&1 \end{array} \right] $$
Question 3 of 5Solve, give the matrix in reduced row echelon form
$$7x-5y=5z-9$$ $$7z=4x+6y+1$$ $$2x-6y=-5-z$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
No Solution
B
$$(10,15,8)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&10\\ 0&1&0&15\\ 0&0&1&8 \end{array} \right] $$
C
$$(6,5,-9)$$ $$\left[ \begin{array}{ccc|c} 6&1&0&0\\ 5&0&1&0\\ -9&0&0&0 \end{array} \right] $$
D
$$(-2,0,-1)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&-2\\ 0&1&0&0\\ 0&0&1&-1 \end{array} \right] $$
E
$$(-4,-3,2)$$ $$\left[ \begin{array}{ccc|c} -4&0&0&1\\ 0&-3&0&1\\ 0&0&2&1 \end{array} \right] $$
Question 4 of 5Solve, give the matrix in reduced row echelon form
$$7x-5z=-6y$$ $$3y-25=-x+7z$$ $$6x+6y=2z-14$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$(0,0,1)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&0\\ 0&1&0&0\\ 0&0&1&1 \end{array} \right] $$
B
$$(2,7,3)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&2\\ 0&1&0&7\\ 0&0&1&3 \end{array} \right] $$
C
$$(-1,-3,-5)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&-1\\ 0&1&0&-3\\ 0&0&1&-5 \end{array} \right] $$
D
No Solution
E
$$(13,-1,0)$$ $$\left[ \begin{array}{ccc|c} 13&0&0&1\\ -1&1&0&0\\ 0&0&1&1 \end{array} \right] $$
Question 5 of 5Solve, give the matrix in reduced row echelon form
$$6x+3y=5-7z$$ $$2y+6z=-4x-4$$ $$12x+6y+4z=26$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$(19,10,6)$$ $$\left[ \begin{array}{ccc|c} 19&1&0&0\\ 0&10&1&0\\ 0&0&6&1 \end{array} \right] $$
B
$$(11,-12,1)$$ $$\left[ \begin{array}{ccc|c} 11&0&0&0\\ -12&1&0&0\\ 1&0&1&0 \end{array} \right] $$
C
$$(1,6,-3)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&1\\ 0&1&0&6\\ 0&0&1&-3 \end{array} \right] $$
D
$$(7,8,4)$$ $$\left[ \begin{array}{ccc|c} 1&0&0&7\\ 0&1&0&8\\ 0&0&1&4 \end{array} \right] $$
E
No Solution

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