Answer:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions
5/6 is greater.
2/3 < 5/6
Answer:
Step-by-step explanation:
so formula for the volume of a cylinder is:
(πr^2)*h
so the diameter is given to us which is
2r=10 cm
then r=5 cm
h=6 cm and r=5 cm so we just plug it in
(5^2)*6π
25*6π
150π cm^3 or approximately 471.239 cm^3
Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
Read more on Brainly.com - brainly.com/question/14113423#readmore
Answer:
In mih's school there are 100 boys
While in Ella's school there are 80 boys
Step-by-step explanation:
X*1/5=20
X=100
X*1/4=20
X=80
