Manipulating Determinants (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What pattern does the sign matrix follow when expanding a determinant?
What pattern does the sign matrix follow when expanding a determinant?
Checkerboard starting with + at top-left
What is the relationship between and ?
What is the relationship between and ?
They are equal
Which operation preserves the determinant value?
Which operation preserves the determinant value?
Adding a multiple of one row to another
What happens to the determinant when you swap two columns?
What happens to the determinant when you swap two columns?
The sign changes
If row 2 is multiplied by , what happens to ?
If row 2 is multiplied by , what happens to ?
is multiplied by 5
If column 1 is divided by , what happens to the determinant?
If column 1 is divided by , what happens to the determinant?
Divided by 4
Why should you look for rows or columns with zeros before expanding a determinant?
Why should you look for rows or columns with zeros before expanding a determinant?
Zeros simplify the calculation
What happens to the determinant after an even number of row swaps?
What happens to the determinant after an even number of row swaps?
Sign remains positive
What is the first step when factorising a determinant?
What is the first step when factorising a determinant?
Take out common factors from rows/columns
For a system of equations to have a unique solution, what must be true of the determinant?
For a system of equations to have a unique solution, what must be true of the determinant?
It must be non-zero