Answer:
No, H is not a subspace of the vector space V.
Step-by-step explanation:
A matrix is a rectangular array in which elements are arranged in rows and columns.
A matrix in which number of columns is equal to number of rows is known as a square matrix.
Let H denote set of all 2×2 idempotent matrices.
H is a subspace of a vector space V if for and .
Let
As , A is idempotent.
So,
So, A+A is not idempotent and hence, does not belong to H.
So, H is not a subspace of the vector space V.
Answer:
Step-by-step explanatio39 cups.........6 pizzas
x cups............4 pizzas
39/x=6/4
x=39*4/6=156/6=26 cups
⇒ Flour:26 ..........4 pizzas
39 c......6 p
13c.......y p
39/13=6/y
y=13*6/39=78/36=2 pizzas
Flour:13.........2 pizzasn:
Answer:
a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)
Step-by-step explanation:
( a^m + b^(n-1) )( a^m + b^(n-1) )
FOIL
first: a^m a^m = a^ 2m
outer: a^m b^ n-1
inner a^m b^ n-1
last : b^ n-1 b^ n-1 = b^ ( 2n -2)
Add together
a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)
A^6b^3 and a^4b^7
GCF is a^4b^3