AB will be an Identity matrix.
<h3>
What is an identity matrix?</h3>
- A square matrix with 1s on the main diagonal and 0s everywhere else is an identity matrix.
- The identity matrices 22 and 33, for example, are presented below.
- These are known as identity matrices because they produce the identity matrix when multiplied by a compatible matrix.
- If the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
- When the matrix is multiplied by the original matrix, the result is the identity matrix.
As it is given in the description itself, if the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
Therefore, AB will be an Identity matrix.
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The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
<h3>Domain of a function</h3>
The domain are independent values of an expression for which it exist. The standard exponential equation is expressed as y = ab^x
Given the exponential function as shown:
y = 5(3)^x
The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
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Answer:
20ft
Step-by-step explanation:
We have two unknowns, the length and the width of the floor. Let us represent this by l and w respectively.
Firstly, we are told that the length of the floor is twice its width. This mathematically means that l = 2w
The width of the rectangular carpet is 2ft less than the width of the floor but the floor length is equal. This means that the width of the floor is (w - 2)ft
Now we are told that the area of the rectangular carpet is 160 sq.ft
This means the length of the carpet multiplied by the width is 160
Mathematically:
l * (w-2) = 160
We know that l = 2w, if we substitute this:
2w(w - 2) = 160
w(w -2) = 80
w^2 -2w = 80
w^2 - 2w - 80 = 0
w^2 -10w + 8w -80 = 0
w(w -10) + 8(w - 10) = 0
(w + 8)(w -10) = 0
w = -8 or 10
Since distance cannot be negative, we ignore the -8 and use the 10 only
Hence the width is 10ft
The length is 2 times the width. The length is thus 2 * 10ft = 20ft
Answer:
Step-by-step explanation:
You would have 6 lb of beef and 2 lb of pork equals 8 lb of meat total 2 * 3 is 6 + 1 + 1 is 2 total equals 8
