Which of the following best represents the description shown?
1 answer:
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Answer:
Step-by-step explanation:
The given line passes through (0,8) and (8,0).
The slope of this line is .
The point-slope form is given by:
We substitute the slope and the point (8,0) to get:
We substitute the slope and the point (0,8) to get:
where det(<em>A</em>) = 1×1 - 2×1 = -1.
where det(<em>B</em>) = 0×2 - (-1)×1 = 1. Then
On the other side, we have
and det(<em>AB</em>) = det(<em>A</em>) det(<em>B</em>) = (-1)×1 = -1. So
and both matrices are clearly the same.
More generally, we have by definition of inverse,
where is the identity matrix. Multiply on the left by <em>A </em>⁻¹ to get
Multiplication of matrices is associative, so we can regroup terms as
Now multiply again on the left by <em>B</em> ⁻¹ and do the same thing: