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:
184
Step-by-step explanation:
edmund as a 2 by 2 cube
so samuel has a cuboid twice as long
2 x 2 = 4
3 times as wide
3 x 2 = 6
and 4 times as high
2 x 4 = 8
8 x 6 x 4 = 192 small cubes
but we are trying to find how much more samuel got
so 192 - 8 = 184
Answer:
2.3
v
−
5
Step-by-step explanation: your welcome
The answer is <span>0.43 that is what i got</span>
The property of soils which depends on the size of particles is Texture.
<h3>Properties of Soil</h3>
The properties of Soil include colour, odor, temperature, and texture as measured by porosity, mouldability and a host of other texture effects.
- It is evident that the texture of soil is dependent on the size of the particles as it affects how packed the particles of the soil is.
Read more on properties of soil;
brainly.com/question/26462165
