1)
y = kx
-12 = k(9)
k = -4/3
y = (-4/3)(-4)
y = 16/3
2)
y = kx
8 = 20k
k = 2/5
y = (2/5)(10)
y = 4
3)
y= kx
-6 = k(-14)
k = 3/7
-4 = (3/7)x
-4(7/3) = x
x = -28/3
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
Answer:
The first two graphs are the exact same but it is the first two.
Step-by-step explanation:
2 * 200 * 300 = 200 + x * 300 + x = (200 + 300) * x
Solve for x.
