CBSE Class 12 science: Solving Simultaneous Equations Videos | Finding adjoint and calculating the inverse of a matrix
Finding adjoint and calculating the inverse of a matrix
Find adjoint of a matrix and hence calculate the inverse of a matrix. Use it to solve system of linear equations.
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Concepts on determinants
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Concepts on minors and cofactors of determinants
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Concepts on ad joint, inverse of matrix
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About properties of determinants
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Revising properties of determinants
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Matrix question
- find for what values of k, the equations x+y+z=1,x+2y+4z=k,x+4y+10z=k² have a solution and solve them completely in each case
- 2x -3y+5z=11 3x+2y-4z=-5 x+y-2z=-3
- Express the system of linear equations in matrix form: a1x + b1y + c1z = d1, a2x + b2y + c2z = d2 and a3x + b3y + c3z = d3
- Write the conditions for a solution of a system of linear equations AX = B.
- Write the given system of linear equations in matrix form. 2x – 3y = 1, x + 3z = 11 and x + 2y + z = 7.
- Find whether the system of linear equation has a unique solution or not. 5x – 10y = 4 and x – 2y = 8.
- Ravi purchases 1 pen, 4 pencils and 1 box in Rs. 34. From the same store Neeraj purchases 2 pens, 2 pencils in Rs. 26 and Neetu purchases 1 pen, 3 pencils and 2 boxes in Rs. 43. Express this problem into matrix form.
- Find whether the system of linear equation has a unique solution or not. 3x + 2y = 5 and 6x + 5y = 10.
- Solve the system of linear equations by matrix method 12y = 9 + 5x, 7x = 6y – 8.
