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Lena [83]
3 years ago
12

Plz this is important number 2 plz

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
Rounding it to the tens place so your answer for 12mm is going to be 10
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Consider the following sets of matrices: M2(R) is the set of all 2 x 2 real matrices; GL2(R) is the subset of M2(R) with non-zer
defon

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

\text{det(AB)} = \text{det}(A)\text{det}(B)\neq 0.

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

\text{det(AB)} = \text{det}(A)\text{det}(B)=1\cdot 1 = 1.

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).

7 0
3 years ago
The library is halfway between your house and your school. If your house is located at (-4,-3) and the library is at (2,-1), wha
aleksandrvk [35]
I believe it would be (-2,-2) i may be wrong though i dont have my graphing papers
6 0
3 years ago
Help me with all of them plzzz eleven<br><br> Points
irina [24]
122 with 58
35 with 145
62 with 118
105 with 75
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3 years ago
Read 2 more answers
Ana can swim at a rate of
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It’s 60 miles an hour rate
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David rented a truck for one day there was a base base fee of $19.99 and there was an additional charge of $.84 for each mile dr
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196 Miles

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164.64/.84= 196
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3 years ago
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