Answer: C
Step-by-step explanation:
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:
88
Step-by-step explanation:
i am smart like that jkjk idk the answer but i think u can just google the answer and it will probably me somewheree
Answer:
\mathrm{Axis\:interception\:points\:of}\:Y-3:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-3\right)
Step-by-step explanation:
Let's rearrange the equation x + y = 6 to slope-intercept form. Solve for y.
x + y = 6
To get the y variable on the left-hand side alone, subtract x from each side.
x + y - x = 6 - x
y = 6 - x
Rearrange the right-hand side.
y = -x + 6
Now we have it in the slope-intercept form. And to find the slope, we look at the coefficient of x. But there is no coefficient of the -x term!
In all reality, there is. However, it's just 1. -1x is the same thing as -x. We don't show the 1 because it has no effect.
So, -1 is the slope.
