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
25 percent of people had pasta.
First add 450 and 150 (which equals 600)
Next divide 600 by 150 (which equals 4)
Which means 150 is a fourth of six hundred, and a fourth is 25 percent.
Which leads to my answer of 25 percent
Answer:
Option (1)
Step-by-step explanation:
By the property of alternate segment theorem,
"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"
m(∠EFG) = 
× m(minor arc FG)
minor arc FG = 2m(∠EFG)
= 2(76°)
= 152°
Therefore, Option (1) will be the correct option.
For a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid is mathematically given as
A=26.7
<h3>What is the area of the trapezoid?</h3>
Generally, the equation for the trapezoid is mathematically given as
A=0.5*(a+b)*h
Therefore
A=0.5*(3.2+9.2)*4.3
A=26.7
In conclusion,area of the trapezoid
A=26.7
Read more about Arithmetic
brainly.com/question/22568180
A. the first box is 7
the second box is 2
the third box is 100
the fourth box is 6.5
RULE: times 3 + 2
b. the first box is 45/2
the second box is -0.75
the third box is 0
the fourth box is 2.75
RULE: times 5/2
c. the first box is 1 1/2
the second box is 6
the third box is -4
the fourth box is -1.75
RULE: times half add one
