TopicGeneral Maths
Algebra · SS3
Matrices & determinants
Arrays of numbers: adding and multiplying matrices, determinants and inverses.
- Before this
- Linear & simultaneous equations
- Leads to
- Matrices & linear transformations
Learn
- 1Adding and multiplying matricesThe order of a matrix, equal matrices, adding, subtracting and multiplying by a number, multiplying two matrices row by column, the identity matrix, and finding unknown entries.Done15 min
- 2Determinants and inversesThe determinant ad − bc of a 2 × 2 matrix and what it measures, singular matrices, the inverse of a 2 × 2 matrix, finding a matrix from its inverse, solving simultaneous equations with an inverse, and 3 × 3 determinants.Done16 min
Practise
Answer matrices & determinants questions one at a time. You'll know straight away whether you're right, with hints and the working step by step.
Your progress is saved on this device as you practise. No account needed.
Past questions (42)
From 1994–2024: 5 WAEC, 6 NECO, 31 JAMB. Theory questions first, then objective, newest first.
Theory (7)
- NECO 2023 · Paper 2 · Q9Given and , …
- NECO 2022 · Paper 2 · Q4Find the inverse of the matrix and use it to solve the equations and …
- WAEC 2020 · Paper 2 · Q6Given that , and are consecutive terms of an Arithmetic Progression (A.P.), find the possible values of .
- WAEC 2019 · Paper 2 · Q13The curved surface areas of two cones are equal. The base radius of one is and its slant height is . Calculate the …
- WAEC 2018 · Paper 2 · Q7Evaluate .
- WAEC 2017 · Paper 2 · Q12Using the method of completing the square, solve, correct to 2 decimal places, the equation .
- WAEC 2017 · Paper 2 · Q12If , …
Objective (35)
- NECO 2024 · Paper 1 · Q16Find the values of , and respectively for which .
- NECO 2024 · Paper 1 · Q17If and , find .
- NECO 2023 · Paper 1 · Q16Find the determinant of the matrix .
- NECO 2022 · Paper 1 · Q18Given that and , calculate .
- JAMB 2017 · UTME · Q17If and , …
- JAMB 2017 · UTME · Q2If and is the unit matrix, evaluate .
- JAMB 2017 · UTME · Q25If , find .
- JAMB 2015 · UTME · Q37Find the matrix if , where and is the identity matrix.
- JAMB 2014 · UTME · Q22Find if .
- JAMB 2014 · UTME · Q23If , find .
- JAMB 2014 · UTME · Q24Find the value of .
- JAMB 2013 · UTME · Q22If and , find .
- JAMB 2013 · UTME · Q23Find the inverse of .
- JAMB 2012 · UTME · Q23If , find the value of .
- JAMB 2012 · UTME · Q24Given that is the unit matrix of order 3, find .
- JAMB 2011 · UTME · Q25Evaluate .
- JAMB 2011 · UTME · Q26The inverse of matrix is
- JAMB 2010 · UTME · Q25If , find the value of .
- JAMB 2010 · UTME · Q27If , what is ?
- JAMB 2004 · UME · Q22The inverse of the matrix is
- JAMB 2004 · UME · Q23If , then is
- JAMB 2003 · UME · Q15A matrix has inverse . Find .
- JAMB 2002 · UME · Q36If , find .
- JAMB 2002 · UME · Q40If and is the unit matrix, evaluate .
- JAMB 2001 · UME · Q18Given the matrix , the matrix , where is the identity matrix, …
- JAMB 2001 · UME · Q19Evaluate .
- JAMB 2000 · UME · Q18Find the values of for which the determinant of the matrix …
- JAMB 1999 · UME · Q15Find the matrix if , where and is the identity matrix.
- JAMB 1998 · UME · Q23The determinant of the matrix in terms of is
- JAMB 1998 · UME · Q24Let , and …
- JAMB 1997 · UME · Q23Determine if .
- JAMB 1997 · UME · Q24Find the non-zero positive value of which satisfies .
- JAMB 1995 · UME · Q25If and , find .
- JAMB 1994 · UME · Q24Solve for and : .
- JAMB 1994 · UME · Q25The determinant of the matrix is