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Nata [24]
3 years ago
7

Let U be a square matrix such that Upper U Superscript Upper TUequalsI. Show that det Uequalsplus or minus1. Assume that Upper U

Superscript Upper TUequalsI. Since the desired result is that det Uequalsplus or minus​1, an intermediate step must be found which contains the expression det U. Which of the following can be applied to the assumption Upper U Superscript Upper TUequalsI to achieve the desired​ result? A. det ​(Upper U Superscript Upper T​U)Superscript negative 1equalsdet I B. det ​(Upper U Superscript Upper T​U)equalsI C. ​(Upper U Superscript Upper T​U)Superscript negative 1equalsISuperscript negative 1 D. det ​(Upper U Superscript Upper T​U)equalsdet I Simplify the right side of the equation found in the first step. nothing Which property can be used to simplify the left side of the equation found in the first​ step? Select all that apply.

Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

See explaination

Step-by-step explanation:

Please kindly check attachment for the step by step solution of the given problem.

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Solve this<br> SOLVE THIS QUESTION PLEASE
salantis [7]

Answer:

12 hour                24 hour

08:05pm               20:05pm

12:01am                  00:01am              

Step-by-step explanation:

7 0
3 years ago
Factor this expression completely, then place the factors in the proper location on the grid.
andreev551 [17]

Notice that you have a difference of cubes:

\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2\right)^3-\left(\dfrac y3\right)^3

which can be factored using the rule,

a^3-b^3=(a-b)(a^2+ab+b^2)

So,

\dfrac{x^3}8-\dfrac{y^3}{27}=\left(\dfrac x2-\dfrac y3\right)\left(\dfrac{x^2}4+\dfrac{xy}6+\dfrac{y^2}9\right)

and just to make things look nicer, we can pull out 1/6 from the first factor and 1/36 from the second to get

\dfrac{x^3}8-\dfrac{y^3}{27}=\dfrac1{216}(3x-2y)(9x^2+6xy+4y^2)

4 0
4 years ago
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
OLga [1]

Answer:

The coordinates of the vertex are (-5, 41)

Step-by-step explanation:

For a quadratic function of the form

f(x) = ax ^ 2 + bx + c

Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.

In this case we have the following parabola

f (x) = -x2 - 10x + 16

And we know that its axis of symmetry is the line x = -5

Then we know that this axis of symmetry passes through the vertex of the parabola.

Therefore, the x coordinate of the vertex is -5.

To find the coordinate in y of the vertex, we substitute x = -5 in the function.

f (-5) = -(- 5) ^ 2 -10 (-5) +16\\\\f (-5) = 41

Finally, the vertices are in the point (-5, 41).

5 0
4 years ago
How do i simplify this expression?
levacccp [35]
  First, you try to make sure that both the denominators are the same. In order to do this, you multiply both fractions' numerator and denominator by the other fraction's denominator. Next, you combine like terms in the numerator, and then you simplify the fraction.
8 0
4 years ago
A sawmill runs for three 4-hour shifts per day. It produces 500 2x4's per hour, which are divided into 50 piece bundles automatc
atroni [7]
It produces 500 per hour and those are divided into 50 piece bundles. so if we divide by 50 we will see how many bundles.
500/50 = 10.

it says that he does 10 bundles an hour and we found it makes 10 bundles per hour so it will take him the exact amount of hours that they run to load.the bundles.

it runs 3 shifts that are 4 hours. so to get the hours we can multiply 3 shifts by 4 hours
3 * 4 = 12 hours

if it did not.match we.could have kept going like this


so 10 bundles per hour for 12 hours is
10 * 12 = 120 bundles

he runs 10 bundles in an hour so we can divide the total by the amount per hour and gwr.how long it takes
120 / 10 = 12 hours
7 0
3 years ago
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