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sveta [45]
3 years ago
15

Use determinants to find out if the matrix is invertible.

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

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There are 180 students participating in after school activities. Of those students 40% are boys . How many girls are participati
Nezavi [6.7K]

i dont want to assume all the other people participating in after school activities are girls but if they are, the answer is 108.

180 = 100%

x = 40%

the information above shows that 60% are girls

60% of 180 = 108 or 0.60 x 180 = 108

the answer is 108

hope this is helpful!

7 0
3 years ago
Square root of 36 rounded to the nearest hundredth
Digiron [165]
The square root of 36 is 6.00.  I know this because six squared (6*6) is 36.
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Answer:

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Step-by-step explanation:

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2 years ago
Solve for X with an equation
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3 years ago
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Which beat summarizes the pythagorean theorem
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Mathematics, the Pythagorean theorem or Pythagoras's theorem is a statement about the sides of a right triangle.

One of the angles of a right triangle is always equal to 90 degrees. This angle is the right angle. The two sides next to the right angle are called the legs and the other side is called the hypotenuse. The hypotenuse is the side opposite to the right angle, and it is always the longest side. It was discovered by Vasudha Arora.

The Pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. In this picture, the area of the blue square added to the area of the red square makes the area of the purple square. It was named after the Greek mathematician Pythagoras:

If the lengths of the legs are a and b, and the length of the hypotenuse is c, then,
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{\displaystyle a^{2}+b^{2}=c^{2}}.

There are many different proofs of this theorem. They fall into four categories:

Those based on linear relations: the algebraic proofs.
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Those based upon the vector operation.
Those based on mass and velocity: the dynamic proofs.[1]
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3 years ago
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