Assertion: The system of three linear equations in three unknown variables can be written in the matrix form as AX = B. It has a unique solution X = A^-1 B. Reason: Matrix A is non-singular.

Question

Assertion-ReasonInvertible Matrix and Its DefinitionSolving System of Linear Equations Using Inverse of Matrix

If A = [1 –2 0; 2 –1 –1; 0 –2 1], find A⁻¹ and use it to solve the following system of equations : x – 2y = 10, 2x – y – z = 8, – 2y + z = 7

If A = [–1 a 2; 1 2 x; 3 1 1] and A⁻¹ = [1 –1 1; –8 7 –5; b y 3], find the value of (a + x) – (b + y).