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
Answer:
(x - 9)(x + 2)
Step-by-step explanation:
Given
x² - 7x - 18
Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (- 7)
The factors are - 9 and + 2, since
- 9 × 2 = - 18 and - 9 + 2 = - 7, thus
x² - 7x - 18 = (x - 9)(x + 2)
Answer:
1) 2+1023
2) I count solve it
Step-by-step explanation:
In pic
(hope this helps can I pls have brainlist (crown) ☺️)
The derivative would be f'(x)= -9
In the first figure angles (D and B) and (A and C) are both equal to each other and a quadrilateral must add up to 360 degrees, so angle (A and C) and (D and B) are supplementary angles. And angles g and f are complementary angles only if E = 90 degrees