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Svet_ta [14]
3 years ago
6

Please help! Correct answer only, please! I need to finish this assignment this week. Given matrix A and B both have dimensions

2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

Option B is correct

Step-by-step explanation:

The multiply of matrix A by matrix B that is inverse of A, must result in an identity matrix that has form shown in option B

Hope this helps!

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Please help with #1 and explain your answers! Thank you
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1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.

1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.

1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.

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The area of the triangle can be calculated using the distance formula if the coordinates are given.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle with coordinates on the coordinate plane.

It is required to find the area of the triangle using the coordinate points.

Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)

From the distance formula:

The distance(b) between (0, 0) and (x1, y1):

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The distance between (0, 0) and (x2, y2):

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So the area of the triangle:

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\rm A = \dfrac{1}{2}\times  \sqrt{x_1^2+y_1^2} \times  \sqrt{x_2^2+y_2^2}

\rm A = \dfrac{1}{2} \sqrt{(x_1^2+y_1^2) (x_2^2+y_2^2)}

Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.

Learn more about the triangle here:

brainly.com/question/25813512

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