All categories

1 year ago

Pls help and thanks!

Mathematics

1 answer:

irina1246 [14]1 year ago

5 0

the multiplication of 2 matrices A and B

a11 a12 a13 ...

a21 a22 a23 ...

a31 a32 a33 ...

...

b11 b12 b13 ...

b21 b22 b23 ...

b31 b32 b33 ...

a11×b11+a12×b21+a13×b31+... a11×b12+a12×b22+a13×b32 ...

a21×b11+a22×b21+a23×b31+... a21×b12+a22×b22+a23×b32

a31×b11+a32×b21+a33×b31+... a31×b12+a32×b22+a33×b32

...

in other words, we combine the rows of the first matrix with the columns of the second matrix.

the rows of the result matrix are driven by the rows of the first matrix and the columns of the second matrix.

formally :

we can multiply a m×n matrix only with a n×o matrix.

the number of columns in the first matrix must be equal to the number of rows in the second matrix.

the result matrix is then sized m×o.

the first element (first row first column) of the result matrix is the sum of the products of the elements of the first row of the first matrix with the elements of the first column of the second matrix.

the element in the (x,y) position in the result matrix is the sum of the products of the elements of the xth row of the first matrix with the elements of the yth column of the second matrix.

so, when multiplying 2 2×2 matrices, the condition is automatically fulfilled : m = n = o = 2

ST =

4×0+1×-4 4×4+1×3

-3×0+-2×-4 -3×4+-2×3

-4 19

8 -18

and TS =

0×4+4×-3 0×1+4×-2

-4×4+3×-3 -4×1+3×-2

-12 -8

-25 -10

as we can see, the 2 results are completely different.

You might be interested in

Examine the complex number 8−4i. A: What is the real part of the complex number? B: What is the imaginary part of the complex nu

ELEN [110]

The real part is the real number, which in this case is the 8..

the imaginary part has the i attached to it, which is 4

4i is the imaginary part

Please vote my answer brainliest. thanks!

6 0

4 years ago

Read 2 more answers

a solid metal ball with a radius of 10 inches is melted and made into smaller spherical metal balls with a radius of 2 inches ea

Leto [7]

Answer:

5 i think

Step-by-step explanation:

8 0

3 years ago

Saved Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years.

mestny [16]

<h2>Steps</h2>

So for this, we will be creating an equation using the exponential formula - which is $y=ab^x$ (a = initial value, b = growth/decay).

Firstly, we know that the original population of the deer is 1,500 so that will be our a value.

Next, we know that the population is growing by 2% annually. With this, we will <em>add</em> 1 and 0.02 (2% in decimal form) since the population is <em>increasing</em>.

1 + 0.02 = 1.02

1.02 will be our b variable. Now putting it together, our equation is: $y=1500(1.02)^x$

Now that we have our equation set up, plug 4 into the x variable and solve for y as such (Remember to not round until the very end):

$y=1500*(1.02)^4\\y\approx 1624$

<h2>Answer</h2>

<u>After 4 years, the deer population will be 1,624.</u>

4 0

3 years ago

Find the surface area of the triangular prism (above) using its net (below).

vovangra [49]

Answer:

96 cm^2 (centimetres squared)

Step-by-step explanation:

(7 x 3) x 2 = 42

6x2 / 2 x 2 = 12

6 x 7 = 42

42 + 12 + 42 = 96 cm^2

3 0

3 years ago

Read 2 more answers

What is the nth term of this sequence 7, 9, 11, 13

Alexus [3.1K]

Answer:

The nth term of the sequence is

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

Hope this helps you

5 0

3 years ago

Read 2 more answers