Ask question

Ask question

All categories

Liono4ka [1.6K]

3 years ago

10

What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0

1 answer:

slava [35]3 years ago

7 0

Answer:

130

Step-by-step explanation:

You want the determinant of the matrix ...

$\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]$

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

= 12 -15 +24 +2 +80 +27

D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

You might be interested in

Can someone help me with this .(let the download load or check in your downloads)

Nimfa-mama [501]

I don’t see anything it’s a white screen

5 0

3 years ago

Can someone explain how you do fractions like adding them? And what rules they have to find the answer?

frozen [14]

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

7 0

2 years ago

Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:

Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0

3 years ago

What is 88 divided by 4,048

grandymaker [24]

Answer:

46

It's supposed to me 4,048 divided by 88. That would have made it a lot easier for you :)

I'm happy to help you :)

4 0

3 years ago

A complete table with values for x or y that make this equation true:3x+y=15

Reika [66]

Answer:

Table is attached

Step-by-step explanation:

We are given equation as

$3x+y=15$

We will complete each column

First column:

we are given x=2 and we have to find y

$3\times 2+y=15$

$6+y=15$

$y=9$

Second column:

we are given y=3 and we have to find x

$3x+3=15$

$3x=12$

$x=4$

Third column:

we are given x=6 and we have to find y

$3\times 6+y=15$

$18+y=12$

$y=-6$

Fourth column:

we are given x=0 and we have to find y

$3\times 0+y=15$

$0+y=15$

$y=15$

Fifth column:

we are given x=3 and we have to find y

$3\times 3+y=15$

$9+y=15$

$y=6$

Sixth column:

we are given y=0 and we have to find x

$3x+0=15$

$3x=15$

$x=5$

Seventh column:

we are given y=8 and we have to find x

$3x+8=15$

$3x=7$

$x=\frac{7}{3}$

now, we can complete table

8 0

3 years ago