Question

solve by matrix inversion method 5x+2y=4,7x+3y=5​

Answer 1

Answer:

Step-by-step explanation:

5x +2y = 4

7x + 3y = 5

Define 3 matrices,

A =                        B =              X=

[5 2                        [4               [x

7 3]                         5]               y]

So, the system of equations can be written as:

AX=B

Now, det(A) = 15-14 = 1

So, A is non singular matrix

So, X = A-1B    (A-1 = inverse of A)

Now, A-1 = adj(A) / det(A) =

[3  -2

-7  5]

So, A-1B =

[ 2

 -3 ]

So, x = 2, y = -3