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professor190 [17]
3 years ago
8

Answer this:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Mathematics
1 answer:
blagie [28]3 years ago
6 0
What is the question?
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If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A
Nuetrik [128]

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

4 0
4 years ago
The triangles below are similar because of the:
siniylev [52]

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

7 0
2 years ago
One of the formulas for calculating the correct dosage for a child is as follows: C= a/((a+12)) ∙ 180 C = child’s dosage in mill
bogdanovich [222]
So you already have the formula for calculating the dosage for child with: C = a/(a+12)x 180 ml Not sure why you have double brackets

variables are: a = child's age, so everywhere you have an "a" replace it with the age of child.

Example: 5 year old child

C = 5/(5+12)*180= 5/(17)*180 = 5/3060 = .0016 ml or milligrams
8 0
4 years ago
Can someone do my hw for me
IrinaVladis [17]

Answer:

depends on what the homework is

6 0
3 years ago
-2x+3=9. What does x equal?
Dimas [21]

Answer:

<h2>x= -3</h2>

Step-by-step explanation:

- 2x + 3 = 9 \\  - 2x = 9 - 3 \\  - 2x = 6 \\  \frac{ - 2x}{ - 2}  =  \frac{6}{ - 2}

x =  - 3

3 0
4 years ago
Read 2 more answers
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