Morteza's copy of Solve simultaneous equations by Crammer's method

Error

There was an error loading the page.

Contributors

History

○

Morteza Shahpari 6 years, 4 months ago

Created this as a copy of Solve simultaneous equations by finding inverse matrix.

Name	Status	Author	Last Modified
Solve simultaneous equations by finding inverse matrix,	Ready to use	Newcastle University Mathematics and Statistics	21/12/2022 13:36
Blathnaid's copy of Solve simultaneous equations by finding inverse matrix,	draft	Blathnaid Sheridan	12/11/2018 13:23
Solve simultaneous equations by finding inverse matrix	draft	Morteza Shahpari	20/11/2018 05:28
Morteza's copy of Solve simultaneous equations by Crammer's method	draft	Morteza Shahpari	23/11/2018 06:03
Simon's copy of Solve simultaneous equations by finding inverse matrix,	draft	Simon Thomas	01/04/2019 15:36
Inverse of 2x2 matrix	draft	Peter Johnston	16/04/2019 03:48
sean's copy of Simon's copy of Solve simultaneous equations by finding inverse matrix,	draft	sean hunte	07/05/2019 20:25
Maria's copy of Solve simultaneous equations by finding inverse matrix,	draft	Maria Aneiros	23/05/2019 07:00
W1b - Solve simultaneous equations by finding inverse matrix	Ready to use	Timur Zaripov	17/06/2022 09:37
Alexander's copy of Solve simultaneous equations by finding inverse matrix,	draft	Alexander Corner	22/10/2024 10:09
M2	Ready to use	Shaheen Charlwood	16/05/2022 14:24

There are 36 other versions that do you not have access to.

Question statement

Solve the following system of equations by using the Crammer's method:

$x =\frac{{\left|\begin{array}{cc}v_1 & b\\v_2 & d \end{array}\right|}}{\left|\begin{array}{cc}a & b\\c & d \end{array}\right|}$

and

$y =\frac{{\left|\begin{array}{cc}a & v_1\\c & v_2 \end{array}\right|}}{\left|\begin{array}{cc}a & b\\c & d \end{array}\right|}$

for a matrix $\mathbf{A}$ and column vectors $\mathbf{v}$ and $\mathbf{b}$ .

$\begin{align} \simplify[std]{ {ma[0][0]}x + {ma[0][1]}y} &= \var{mb[0][0]} \\ \simplify[std]{ {ma[1][0]}x + {ma[1][1]}y} &= \var{mb[1][0]} \end{align}$

Input all numbers as fractions or integers and not as decimals.

Give any introductory information the student needs.

			Name	Type	Generated Value

ma	matrix	matrix([-4,-1],[-2,2])
a00	integer	-4
a01	integer	-1
a10	integer	-2
a11	integer	2
mb	matrix	matrix([2],[8])
ma_inverse	matrix	matrix([-0.2,-0.1],[-0.2,0.4])
x	number	-1.2
y	number	2.8

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
matrix([
    [a00,a01],
    [a10,a11]
])

JME function reference

Description

Matrix A. a10 is picked so it's non-singular, and a11 is never $\pm a01$ .

No entry is 0.

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `matrix`

matrix([-4,-1],[-2,2])

← Depends on:

This variable doesn't seem to be used anywhere.

Advice

a)

$\left|\begin{array}{cc}a & b\\c & d \end{array}\right| =a d-bc = simplify[]{ {ma[0][0]}*{ma[1][1]} - {ma[0][1]}*{ma[1][0]}}$

$x =\frac{{\left|\begin{array}{cc}v_1 & b\\v_2 & d \end{array}\right|}}{\left|\begin{array}{cc}a & b\\c & d \end{array}\right|}$

and

$y =\frac{{\left|\begin{array}{cc}a & v_1\\c & v_2 \end{array}\right|}}{\left|\begin{array}{cc}a & b\\c & d \end{array}\right|}$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

Linear algebra for electric circuits 1301ENG by Morteza Shahpari in Linear algebra for electric circuits 1301ENG.

Loading...

Error

Morteza's copy of Solve simultaneous equations by Crammer's method

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Morteza Shahpari 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `matrix`

Parts

Number entry

Advanced settings

a)

Loading...

Error

Morteza's copy of Solve simultaneous equations by Crammer's method

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Morteza Shahpari 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: matrix

Parts

Number entry

Advanced settings

a)

Generated value: `matrix`