All categories

3 years ago

Is the statement "Two fundamental questions about a linear system involve existence and uniqueness" true or false? Explain.

Mathematics

1 answer:

sweet [91]3 years ago

5 0

Answer:

True

Explanation:

First of all its necessary remember that a linear system is a compound of multiple equations that involve variables.

<h2>Existence:</h2>

Depending on the number of equations and the number of variables, you could determine if the linear system has a solution or not. There are 3 possibilities:

If the linear system has more equations than variables could exist infinite answers.
If the linear system has more variables than equations, it is considered an undetermined system and you neer more information to solve it.
If the linear system has the same number of equations and variables, the system is consistent and has at least one solution.

<h2>Uniqueness:</h2>

If possibility 3 is presented, it becomes necessary know if its the only one solution or exists more than one solution.

Rgds.

You might be interested in

Solve x2 - 8x - 9 = 0.

Mrac [35]

2x-8x-9=0
-6x-9=0
-6x-9=9
X=-3/2
There u go

8 0

3 years ago

Read 2 more answers

A gym membership has a starting fee of $58 and a monthly fee of $14.99. If you purchase a membership of 7 months, how much will

Bond [772]

To solve this problem you have to do 14.99 x 7 + 58 (starting fee)

the answer should come out to $162.93

Hope this helps :)

5 0

4 years ago

Solve for x x -3/8 = - 5/8

Anni [7]

Answer:

X = - $\frac{1}{4}$

8 0

4 years ago

Read 2 more answers

Three ratios equal to 8/10

Paul [167]

Answer:

48 : 60 56 : 70 64 : 80

Step-by-step explanation:

hope this helps

3 0

3 years ago

A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.

Papessa [141]

Answer:

$\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}$

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

$\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}$

$\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }$

<h3>Hence the number of cubes that can be fitted in the box is 60 .</h3>

6 0

3 years ago

Is the statement​ "Two fundamental questions about a linear system involve existence and​ uniqueness" true or​ false? Explain.

Is the statement "Two fundamental questions about a linear system involve existence and uniqueness" true or false? Explain.