The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point
is given by following formula:
--- eqn 1

On substituting the given value in (1) we get

Hence the value of "r" is -2
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Answer:
C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.
Step-by-step explanation:
Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.
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