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Science (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

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Solve the following system of equations by matrix method:
 2x + 6y = 2
3x − z = −8
2x − y + z = −3

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Solve the following system of equations by matrix method:
 x − y + z = 2
2x − y = 0
2y − z = 1

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

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Solve the following system of equations by matrix method:
 8x + 4y + 3z = 18
2x + y +z = 5
x + 2y + z = 5

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Solve the following system of equations by matrix method:
 x + y + z = 6
x + 2z = 7
3x + y + z = 12

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Solve the following system of equations by matrix method:

\[\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4, \frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1, \frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2; x, y, z \neq 0\]

 

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Solve the following system of equations by matrix method:
x − y + 2z = 7
3x + 4y − 5z = −5
2x − y + 3z = 12

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
6x + 4y = 2
9x + 6y = 3

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
2x + 3y = 5
6x + 9y = 15

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
5x + 3y + 7z = 4
3x + 26y + 2z = 9
7x + 2y + 10z = 5

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
x − y + z = 3
2x + y − z = 2
−x −2y + 2z = 1

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
x + y + z = 6
x + 2y + 3z = 14
x + 4y + 7z = 30

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that the following systems of linear equations is consistent and also find their solutions:
2x + 2y − 2z = 1
4x + 4y − z = 2
6x + 6y + 2z = 3

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:
2x + 5y = 7
6x + 15y = 13

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:
2x + 3y = 5
6x + 9y = 10

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:
4x − 2y = 3
6x − 3y = 5

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:
4x − 5y − 2z = 2
5x − 4y + 2z = −2
2x + 2y + 8z = −1

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:
3x − y − 2z = 2
2y − z = −1
3x − 5y = 3

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Show that each one of the following systems of linear equation is inconsistent:

x + y − 2z = 5

x − 2y + z = −2

−2x + y + z = 4

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined
If \[A = \begin{bmatrix}1 & - 2 & 0 \\ 2 & 1 & 3 \\ 0 & - 2 & 1\end{bmatrix}\] , find A−1. Using A−1, solve the system of linear equations  x − 2y = 10, 2x + y + 3z = 8, −2y + z = 7.
[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined
If \[A = \begin{bmatrix}3 & - 4 & 2 \\ 2 & 3 & 5 \\ 1 & 0 & 1\end{bmatrix}\] , find A−1 and hence solve the following system of equations: 
[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined
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