Which of the following statements are true?
1 answer:
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.
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Answer:
c = 208.8
Step-by-step explanation:
a. <em>To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.</em>
b. <em>You need to move the 7.2 to the other side. So, </em><em>multiply</em><em> both sides by 7.2, because it's being divided, so multiplying will cancel it out.</em>
c: <em>Then, multiply 7.2 by 29. (The * symbol means multiply)</em>
d. c. = 208.8 <em>The answer is 208.8, which is rounded to the tenths place.</em>
Hope this helps! I tried to explain it in detail. :)
Answer:
Amount of flour in the bag when Mary began =
Step-by-step explanation:
Given:
Number of baked loaves of bread made from flour = 4
Number of muffins made from flour = 48
To find: Amount of flour in the bag when Mary began
Solution:
Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.
So,
Amount of flour used to make 4 baked loaves of bread = 4 x
Amount of flour used to make 48 muffins = 48 y
Amount of flour in the bag when Mary began =