Answer:
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Step-by-step explanation:
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:
=12
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
Answer:
x=12
Step-by-step explanation:
14/21=16/(x+12)
cross multiply
14(x+12)=16(21)
14x+168=336
14x=336-168
14x=168
x=12 (so the side would be x+12=24)
You could also see that 14 is 2/3 of 21, so 16 has to be 2/3 of x+12. That means x+12 would have to equal 24. If you take the 12 away from 24, x=12.
Answer:
6
Step-by-step explanation:
The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.