Answer:
∠ A ≈ 44.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos A = 
= 
= 
, then
∠ A = 
( ) ≈ 44.42° ( to the nearest hundredth )
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=-4/5
Step-by-step explanation:
8/20=x/-2
simplify 8/20 into 2/5
2/5=x/-2
cross product
5*x=-2*2
5x=-4
x=-4/5
The system of equations:2 y = - x - 12 y = x + 5---------------------- x - 1 = x + 5- 2 x = 5 + 1- 2 x = 6x = - 6 : 2x = - 32 y = - 3 + 52 y = 2y = 1The solution is ( - 3 , 1 ).Answer: The x-coordinate of the solution to the system is: x = - 3.
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Answer:
16
Step-by-step explanation:
Given
C=2r and r=8
So
C=2×8 (as r=8)
C=16 (ans)
