CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

Matrices and Determinants (6 Mark questions)

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1. Using matrices solve the following equations: x + y + z = 3 ; x – 2y + 3z = 2 and 2x – y + z = 2
2. If and B= ,Find AB hence solve the system of equation x-y = 3, 2x +3y +4z = 17, y+2z =7
3. Solve the following system of equations by matrix method : 5x-7y+z =11 , 6x-8y-z =15 and 3x+2y-6z =7.
4. Given that find BA. Use product solve the system of equations x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1
5. Solve the following system of equations by matrices: 2/x + 3/y + 10/z = 4 ; 6/x + 9/y – 20/z = 2 ; 4/x – 5/y + 5/z = 1
6. Given that Hence solve the system of equations: x – y + z = 4, x – 2y – 2z = 9, 2x + y + 3z = 1
7. If find A^-1 and solve the following system of equations 2x – 3y + 5z = 11, 3x + 2y – 4z = -5, x + y - 2z = - 3.
8. If , find A^-1 and use it to solve the system of the equations



9. Using elementary row transformations, find the inverse of
10. Find A^-1 , where . Hence, Solve the system of linear equations: x +2y-3z= - 4, 2x+3y+2z=2, 3x-3y-4z=11
11. Solve the following system of equation by matrix method
12. If Find A^-1 and hence solve the system of linear equation: 3x+4y+7z=14, 2x-y+3z=4, x+2y-3z=0.
13. If prove that A²-4A-5I=0, Hence find A^-1.
14. If , find A^-1 using elementary row operation.
15. Classify the following system of equations as consistent or inconsistent. If consistent solve it. x – y + 3z = 6, x + 3y – 3z = – 4 and 5x + 3y + 3z = 10

Submitted By Mrs. E.Praveen
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