y=4.5
This is because the ratio between the two triangles is 1:2 so the side lengths of the first triangle is half the corresponding side length of the second triangle.
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
Answer: 10 because of Pythagorean theorem
= 8y^2 - 32y + 3y^2 + 6y
= 11y^2 - 26y
The correct question in the attached figure
case A) an=2<span>^(n-1)
for n=8
a8=2</span>^(8-1)-----> a8=2<span>^7----> a8=128
the answer case A) is a8=128case B) an=7
then for n=8
a8=7
the answer case B) isa8=7case C) an=1+(-1)</span><span>^n
for n=8
a8=1+(-1)</span><span>^8----> a8=1+1----> a8=2
the answer case C) isa8=2case D)an=-(-2)</span><span>^n
for n=8
a8=-(-2)</span><span>^8----> a8=-256
the answer case D) isa8=-256</span>