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Ann [662]
4 years ago
15

Does the equation Axequalsb have a solution for each b in set of real numbers RSuperscript 4​? A. ​No, because A has a pivot pos

ition in every row. B. ​Yes, because the columns of A span set of real numbers RSuperscript 4. C. ​Yes, because A does not have a pivot position in every row. D. ​No, because the columns of A do not span set of real numbers R
Mathematics
1 answer:
Elanso [62]4 years ago
7 0

Answer:

C. Yes, because A does not have a pivot position in every row.

Step-by-step explanation:

The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.

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katen-ka-za [31]

9514 1404 393

Answer:

  (-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)

Step-by-step explanation:

The function definition tells you that adding 12 to the x-value will give you the value of f(x).

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3 years ago
Simplify the algebraic expression 4(x + 1) + 7(x + 3)
Ghella [55]

Answer:

11x+25

Step-by-step explanation:

1. Distribute

4x+4+7x+21

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3 years ago
3(0.7z+2.8)=7(1.5z+7.2)
AnnZ [28]

Answer:

z = -5

Step-by-step explanation:

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2.1z - 10.5z = 50.4 - 8.4

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7 0
3 years ago
The quotient of 3 and the cube of a number
Lubov Fominskaja [6]

The mathematical form of given statement is 3/x³.

The given statement is "The quotient of 3 and the cube of a number."

We have to write the mathematical form of a given statement.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the number be x.

Here, the quotient means division.

The given statement says that quotient of 3 and cube of number that means 3 is divisible by x³.

So, we get 3/x³.

Hence, the mathematical form of given statement "The quotient of 3 and the cube of a number" is 3/x³.

Learn more about the statement from here brainly.com/question/17144178

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2 years ago
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