The identity matrix (AQA GCSE Further Maths): Flashcards
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What the identity matrix acts like in matrix multiplication
What the identity matrix acts like in matrix multiplication
The number 1
Structure of 2×2 identity matrix
Structure of 2×2 identity matrix
1s on main diagonal, 0s elsewhere
Symbol for identity matrix
Symbol for identity matrix
Result of
Result of
Result of
Result of
Why called the 'identity' matrix
Why called the 'identity' matrix
Preserves the identity of matrices it multiplies with
Effect of identity matrix as a transformation
Effect of identity matrix as a transformation
No change - points stay in original position
What's on the main diagonal of identity matrix
What's on the main diagonal of identity matrix
Only 1s
What's in all other positions of identity matrix
What's in all other positions of identity matrix
0s
Purpose of 1s on diagonal in identity matrix
Purpose of 1s on diagonal in identity matrix
Keep each component the same when multiplied
Purpose of 0s in identity matrix
Purpose of 0s in identity matrix
Ensure no mixing occurs between components
How to verify if two matrices are inverses
How to verify if two matrices are inverses
Check if their product equals the identity matrix
Identity matrix as 'do nothing' transformation
Identity matrix as 'do nothing' transformation
No movement, rotation, reflection, or scaling
Number of unique 2×2 identity matrices
Number of unique 2×2 identity matrices
Only one