In linear algebra, the rank of a matrix
A
A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of
A
A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by
A
A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
The rank is commonly denoted by
rank
(
A
)
{\displaystyle \operatorname {rank} (A)} or
rk
(
A
)
{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in
rank
A
{\displaystyle \operatorname {rank} A}.
Answer:
about 2714.34 in^3
Step-by-step explanation:
24/2=12--radius
12/2=6--height
formula is V=(pi)(r^2)(h)
r is for radius and h is for height
V=(pi)(12*12)(6)
V=(pi)(144)(6)
V=(pi)(864)
V= about 2714.34 in^3
4/5 = 80%
2/3 = 66.66666...%
4/5 is a bigger fraction, so (4/5) x 45 is a bigger fraction.
Answer: Perimeter = 22*sqrt(2)
Area = 60.5 inches
Step-by-step explanation:
Simple a square has 4 equal sides.
It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.
Answer:
139968
Step-by-step explanation:
Multiply the all of the numbers together and you have your answer (:
