Answer:
Option C
Step-by-step explanation:
- For the matrix A of order to be invertible, its determinant must not be equal to zero, |A| 0, exists if- AC = CA = I, where I is identity matrix.
- The homogeneous equation with coefficient matrix A has a unique solution:
AB = 0, B =
Thus, B = (0, 0, 0......., 0) is a unique solution
2. The non - homogeneous equation system with coefficient matrix A has a unique solution:
For an equation- AY = D
Y = is a unique solution
3. Every non homogeneous equation with coefficient matrix A is not consistent as:
For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.
4. Rank of matrix A = n, Thus the column space of A is
5. Since, column space of A = , thus x→xA is one-to-one
The answer to the problem is as follows:
x = sin(t/2)
<span>y = cos(t/2) </span>
<span>Square both equations and add to eliminate the parameter t: </span>
<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>
<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
Answer:
The ratio of apple to orange is 3 to 7 because if you simplify 15 to 21, you get that answer.
Step-by-step explanation:
Answer:
f(g) = -15x^2 + 15x + 2.
g(-2) = 18.
Step-by-step explanation:
f(g) = -5(3x^2 - 3x) + 2
= -15x^2 + 15x + 2.
g(-2) = 3(-2)^2 - 3(-2)
= 12 + 6
= 18.
Answer:
X = 13
X = 70
Step-by-step explanation:
1. Since it is a right angle set the equation up as X +2 + 75 = 90.
X =13
2. Set up x - 20 + 40 = 90 since right triangles are 90 degrees
x = 70