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Write MATLAB command to solve the question: 10) Solve the following system of linear equations by using matrix method (i) x + y +

Write MATLAB command to solve the question: 10) Solve the following system of linear equations by using matrix method (i) x + y + 2z = 9; 2x + 4y - 3z = 1; 3x + 6y 5z = 0. (ii) x + 2y 2z = 9; 2x + y + z = 3; x y + z = 6. 11) Create a matrix of order 5 5. Then (i) find the determinant, inverse (if exists) and rank of the matrix, (ii) find a basis for the column space, row space and null space of the matrix. 12) Determine whether the following system of linear equations has unique solution, no solution or infinitely many solutions by calculating the rank of the co-efficient matrix and the augmented matrix. a) xyz= 1; 2x + 3y + az = 3; x + ay + 3z = 2. Use (i) a = 2; (ii) a = 3; (iii) a 3 and a # 2. b) x + 2y - 3z = 4; 3x y + 5z = 2; 4x + y + (p 14)z = p + 2.| Use (i) p = 4; (ii) p = 4; (iii) p 4.

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