Using MATLAB command can anyone solve this questio

For a linear system A²x=b is such that A is non singualr with A=2x2 matrix and b=2X1 find the solution

Answer 1

[Chunru]

% Some random input
A = rand(2, 2)

A = 2×2

0.2997 0.6504 0.8340 0.9402

b = rand(2,1)

b = 2×1

0.8589 0.7070

% Solution
x = (A*A)\b

x = 2×1

9.6451 -6.4970

% To veryfy that: A*A*x = b
A*A*x

ans = 2×1

0.8589 0.7070

Answer 2

[Iqra Maqbool]

Thankyou...same question if A-¹ and b is given.. Write command incase of A(inv) and b

[Chunru]

A = rand(2, 2);
Ainv = inv(A);      % Ainv is given

b = rand(2,1);

% Solution
x = Ainv*Ainv*b

x = 2×1

0.4475 0.8968

Answer 3

[Walter Roberson]

syms A [2 2]
syms b [2 1]
syms x [2 1]
eqn = A^2 * x == b

eqn = 

solution = solve(eqn, x)

solution = struct with fields:
    x1: (b1*A2_2^2 - A1_2*b2*A2_2 - A1_1*A1_2*b2 + A1_2*A2_1*b1)/(A1_1^2*A2_2^2 - 2*A1_1*A1_2*A2_1*A2_2 + A1_2^2*A2_1^2)
    x2: (b2*A1_1^2 - A2_1*b1*A1_1 + A1_2*A2_1*b2 - A2_1*A2_2*b1)/(A1_1^2*A2_2^2 - 2*A1_1*A1_2*A2_1*A2_2 + A1_2^2*A2_1^2)

[Walter Roberson]

syms A [2 2]
syms b [2 1]
syms x [2 1]
eqn = inv(A) * x == b

eqn = 

solution = solve(eqn, x)

solution = struct with fields:
    x1: A1_1*b1 + A1_2*b2
    x2: A2_1*b1 + A2_2*b2