Answer:
Yaaaaass
Step-by-step explanation:
Answer: 1. 447
2. 572
3. 257
Step-by-step explanation:
1834 bfc I believe that’s the right answer
Answer:
179.50
Step-by-step explanation:
The formula for calculating pi is as followed: 4/3·π·r³
The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.
∴V=4/3·3.14·3.5³
V=179.503333333
Round your answer to the nearest hundredth:
179.503333333 rounded to the nearest hundredth becomes 179.50
∴V=179.50
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Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.
V=π.4/3·r³
V=π·57.1666666667
Round 57.1666666667: 57.17
V=57.17π
Either one would work. Hope this works.
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
