How do you invert a 2x2 matrix?
Take a matrix A=(acbd), where a,b,c,d are numbers.
First find the determinant. This is ad-bc.
Now, rearrange the matrix to become (d-c-ba). Divide this by the determinant, to have A-1=1/(ad-bc)(d-c-ba). This is the inverse of A.
YP
Answered by Yaniv P. • Further Mathematics tutor
7241 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Find roots 'a' and 'b' of the quadratic equation 2(x^2) + 6x + 7 = 0
z = 4 /(1+ i) Find, in the form a + i b where a, b belong to R, (a) z, (b) z^2. Given that z is a complex root of the quadratic equation x^2 + px + q = 0, where p and q are real integers, (c) find the value of p and the value of q.
a) Find the general solution to the differential equation: f(x)=y''-12y'-13y=8. b) Given that when x=0, y=0 and y'=1, find the particular solution to f(x).
Solve the second order ODE, giving a general solution: x'' + 2x' - 3x = 2e^-t