Express the system of equationskx + 2y = 02x + 4y = 1in matrix form, where k is a real constant.Hence, find the values of k for which the system has a unique solution.

pramodpandey | Student

Express the system of equations
kx + 2y = 0
2x + 4y = 1

We can write this in matrix form as



systen AX=b has unique solution if det(A) is non zero.


ie.     `4k-4!=0`


Thus system of equation has unique solution for all value of k ,except 1.