Answer:
Step-by-step explanation:
REcall the following definition of induced operation.
Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.
So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.
For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).
Case SL2(R):
Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So
.
So AB is also in SL2(R).
Case GL2(R):
Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So
.
So AB is also in GL2(R).
With these, we have proved that the matrix multiplication over SL2(R) and GL2(R) is an induced operation from the matrix multiplication over M2(R).
Answer:
While the average real estate agent commission hovers around 5% to 6%, depending on where you live, the total cost of selling tends to be higher.
I think it is: y=0.375x+3.125
a=(5-2)/(5- -3)=3/8=0.375
Find b
(5)=0.375(5)+b
(5)=1.875+b
5-1.875=b
b=3.125
Multiply the denominator by 4
The given circle having two external tangents, according to circle
theorem, have the following values;
<h3>How can the radial length and angles be found?</h3>
r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
According to circle theorems, angle at the center is twice angle
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
The length of the chord subtended by the arc <em>x</em> is equal to the length of
the chord subtended by 89°, which gives;
Learn more about circle theorems applications here:
brainly.com/question/16879446
