Given a 2x2 matrix A = [[a, b], [c, d]], if the determinant is 0 and a = 2, what can you say about b, c, and d?
Category: Math · Difficulty: expert
Hint: Consider the condition for the determinant to be 0.
Answer
They must maintain a certain correlation.
Explanation
For the determinant ad - bc = 0, b and c must be related in a way that maintains this condition.
This is a expert math riddle — one of the harder riddles here. The answer is They must maintain a certain correlation..
More Math riddles
- I can be found in fractions, dividing pieces of a whole. What am I?
- I am less than one, but greater than zero, representing part of something whole. What am I?
- When I am taken away from ten, I leave five behind. What am I?
- If I am multiplied by three, I become six. What am I?
- I represent the middle value in a set of numbers. What am I?
- I am the reasoning behind each step, a guideline that you must follow, but I can go unnoticed. What am I?
- I am a number less than 100. If you add me to my reverse, the sum is always a palindrome. What number am I?
- I can be added, but I have no true form, my worth is only what you make of me. What am I?