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:
x=4
Step-by-step explanation:
100,000,000,000 stars in half of the milky way galaxy
Answer:
y = -3/4x -4
Step-by-step explanation:
3x+4y=-16
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 3x from each side
3x -3x+4y=-3x-16
4y = -3x-16
Divide each side by 4
4y/4 = -3x/4 - 16/4
y = -3/4x -4
Answer:
36
Step-by-step explanation:
It would only be 36 if they split the amount though