Example 40Each of the following four matrix equations represents a system of simultaneous linear equations.H[³]3[BH]0 2y1002X4Example 414H:]1 122Xy0 3[BHA]I02How many of these systems of simultaneous linear equations have a unique solution?A 0B 1C 2D 3E 42.8x + 0.7y = 101.4x + ky = 6The set of simultaneous linear equations does not have a solution if k equalsA -0.35B -0.250COD 0.25E 0.35! Example 37A system of linear equations written in matrix form follows?[102One of the three equations isA. a 2b + c = 4B. a + 3c = 4C. 2b + c = -5D. 3b c = -5E. a 2b = 41Example 38Given the matrix equation MY+AB = GK²C. M-¹ (GK² AB)D. Y-¹ (GK² + AB)E. (GK2 + AB)Y-1A. ==-2 03The expression which would find M is;A. Y-¹ (GK2 AB)B. (GK2 AB)Y-¹3-40-© 12 30-0B.10-4=11Example 39The co-ordinate (-4,5) could be a solution toD.E.= 48C=5²330 | Page

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Example 40 Each of the following four matrix equations represents a system of simultaneous linear equations. 13 4 [1 21;H3] 02 8 1 0 [::I;H:] y 0 3 [:²1; H:] I H₂] 02 y 12 How many of these systems of simultaneous linear equations have a unique solution? A 0 B 1 C 2 D 3 E 4 02 4 5 [ I;H³] 1 1 22 3 8