Further Mathematics jamb past questions and answers

Further Mathematics jamb past questions and answers

Question: Solve for xx: \log_2(x) - \log_2(x - 2) = 1log 

2

​ 

 (x)−log 

2

​ 

 (x−2)=1.

A) x = 4x=4, B) x = 2x=2, C) x = 6x=6, D) x = 8x=8

Answer: B) x = 2x=2

Question: If A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}A=[ 

1

3

​ 

  

2

4

​ 

 ], find A^{-1}A 

−1

  (inverse of AA).

A) \begin{bmatrix} -2 & 1 \\ 1.5 & -0.5 \end{bmatrix}[ 

−2

1.5

​ 

  

1

−0.5

​ 

 ], B) \begin{bmatrix} 2 & -1 \\ -1.5 & 0.5 \end{bmatrix}[ 

2

−1.5

​ 

  

−1

0.5

​ 

 ], C) \begin{bmatrix} 4 & -2 \\ -3 & 1 \end{bmatrix}[ 

4

−3

​ 

  

−2

1

​ 

 ], D) \begin{bmatrix} -4 & 2 \\ 3 & -1 \end{bmatrix}[ 

−4

3

​ 

  

2

−1

​ 

 ]

Answer: A) \begin{bmatrix} -2 & 1 \\ 1.5 & -0.5 \