A rectangle drawn on the coordinate plane has vertices (4, 4), (1, 8), (-7, 2) and (-4, -2). What is the area, in square units,
1 answer:
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Answer:
B, C, E, & F
Step-by-step explanation:
Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.
Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.
Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.
Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.
Option E is correct. If the columns of an m×n matrix A span, then the equation Ax=b is consistent for each b in
Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in
Options B, C, E, and F are correct.
Answer:
For example
Step-by-step explanation:
A non-unit fraction is a fraction of which the numerator is not equal to one. Additionally, the question does not state to pick three different ones and thus you can pick any fraction that when multiplied by three (since you take three fractions together) add up to a whole number (I'm picking the whole number to be one here just to make it simple), where the numerator is not equal to one of course.
For example: , because 3·
=
= 1
Infinitely many solutions can be found: for example