Answer:
f
Step-by-step explanation:
Answer: The answer is C.
Step-by-step explanation:
Because in the theory of the outcome is a 50/50 chance landing heads or tails. So, the theorectical probability is 1/2. Now the experimental must be 11/20.
Answer:
True, if with distinct you refer with multiplicity 1.
Step-by-step explanation:
The answer is true, assuming that the matrix has as many distinct eigenvalues than the number of rows and columns of the matrix (we can suppose that with distinct you mean that the multiplicity for each eigenvalue is 1).
Lets suppose that the matrix has size n, and let λ1, λ2, λ3, ..., λn be its eigenvalues. Each eigenvalue has an eigenvector vi such that Avi = λivi.
A matrix C whose columns are those eigenvectors v1...v1, will satisfy that the product A*C is the square matrix of length n with columns λ1v1, λ2v2, ..., λnvn. Hence C⁻¹AC = C⁻¹ * (AC) will be a diagonal matrix (because the columns of AC are multiples of the columns of C, which is the inverse of C⁻¹). This shows that C⁻¹AC = C⁻¹ is a diagonal matrix D, then A = CDC⁻1.
Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21