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3 years ago

6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.

Mathematics

1 answer:

Pie3 years ago

4 0

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

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Justin is redoing his bathroom floor with tiles measuring 5in. By 14 in. The floor has an area of 8,500 square inches. What is t

ch4aika [34]

<h3>Answer:</h3>

He will need at least 122 tiles

<h3>Step-by-step explanation:</h3>

Get the area of the tiles

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4 years ago

What is this problem

Veronika [31]

The coordinate of the vertex is; (h, k) = (3, -5)

The final equation of the parabola is; y = 5(x - 3)² - 5

<h3>How to find the vertex of a Parabola?</h3>

The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.

The coordinate of the vertex is; (h, k) = (3, -5)

2) Since the general equation is;

y = a(x - h)² + k

We will have;

y = a(x - 3)² - 5

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0 = a(2 - 3)² - 5

a - 5 = 0

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y = 5(x - 3)² - 5

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2 years ago

Which is the slope of the graph of the equation below? X - y = 5

icang [17]

First, make it into slope intercept form. Subtract x form both sides

x (-x) - y = 5 (-x)

-y = -x + 5

Isolate the y. Divide -1 from both sides

(-y)/-1 = (-x + 5)/-1

y = x - 5

The slope in the form: y = mx + b, is m, which is next to the x

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3 years ago

An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus

Margaret [11]

The <em>maximum</em> distance between any two points of the ellipse is 34 feet.

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The maximum distance between any two points of a ellipse is the <em>maximum</em> distance between the ends of the ellipse along the <em>longest</em> axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in <em>standard</em> form is defined by this formula:

$\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1$ (1)

Where:

$h, k$ - Coordinates of the center of the ellipse.
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$d_{max} = 2\cdot (17\,ft)$

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The <em>maximum</em> distance between any two points of the ellipse is 34 feet. $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

<em>An elliptical-shaped path surrounds a garden, modeled by </em> $\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1$ <em>, where all measurements are in feet. What is the maximum distance between any two points of the path.</em>

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

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2 years ago

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geniusboy [140]

Answer:

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Step-by-step explanation:

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