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3 years ago

I need help with this , 15-17

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

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What is 4 newton left?

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Newtons are used to measure force, so there is a measure of 4 newtons remaining.

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4 years ago

There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school

Alex17521 [72]

Answer:

4:5

Step-by-step explanation:

half of 16 is 8, and half of 8 is 4

and half of 20 is 10, and half of 10 is 5

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3 years ago

2) Which ordered pairs represent a proportional relationship between x and y?

ZanzabumX [31]

Answer:

Step-by-step explanation:

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3 years ago

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Which of these number sentences is not true

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3 years ago

If A is nonsingular, then (AT )-1 =(A-1) T . (a) Verify this theorem for 2 × 2 matrices

kipiarov [429]

Answer:

Verified

Step-by-step explanation:

Let the 2x2 matrix A be in the form of:

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Where det(A) = ad - bc # 0 so A is nonsingular:

Then the transposed version of A is

$A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Then the inverted version of transposed A is

$(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

The inverted version of A is:

$A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]$

The transposed version of inverted A is:

$(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

We can see that

$(A^T)^{-1} = (A^{-1})^T$

So this theorem is true for 2 x 2 matrices

3 0

3 years ago