Answer: The required matrix is
Step-by-step explanation: The given linear transformation is
T(f(t)) = 4f'(t) + 6f(t).
We are to find the matrix A of T from P² to P² with respect to the standard basis P² = {1, t, t²}.
We have
Therefore, the matrix A is given by
Thus, the required matrix is
Answer:
The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.
Step-by-step explanation:
Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?
Answer yes but only for c2 if we area adding.
This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.
and c2- b2 = a2 works the same as c2 -a2 = b2.
None of the above formula finds the area, for the area we would need to multiply to find the height.
A = 1/2 x a x b
We have a different understanding to area
The area of a triangle is 1/2 given by the equation:
AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b
Eg)
Given: Measurements of A + B In attachment picture.
A = 3 cm
B = 4 cm
What is the area of the right triangle ABC?
Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:
AΔ=(1/2)∗3∗4=6cm2
So to find area we multiply A by 1/2 and multiply that product by the length of B (base).
