so sorry not sure how to do this ! :c
Answer:
Ker(T) has basis
Range(T) has basis
Step-by-step explanation:
If the matrix you wanted to represent is , then:
.
So, to find ker(T) you must solve the homogenous equation
Using Gauss elimination we obtain the simpler equivalent system
Then, we have that
.
We have that . On this case we say that the basis is the empty set .
The range of is the set of vectors of the form
So,
Where the angle brakets denotes the span.
Answer:
The equation of the line is y = 4x + 13
Step-by-step explanation:
In this question, we want to write the equation of the line using the point slope form.
Mathematically, the point slope form can be represented as;
(y-y1) = m(x - x1)
where x1 = -2 , y1 = 5 and m which is the slope is 4
Plugging these values into the equation, we have;
(y-5) = 4(x - (-2))
y-5 = 4(x + 2)
y -5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
Answer:
The answer is the second one