Inverse of a Two by Two Matrix
Use the determinant and swap signs in the correct entries.
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NOTES FOR YOUR NEXT STUDY SESSION
The study blog
Useful routines, worked examples and small ideas that make learning feel more manageable.
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Which average problem are you solving?
Choose the method that matches your question, then work through the examples.
सवाल में गलत मान है, दो ग्रुप हैं या कोई संख्या जोड़नी है? सही तरीका यहाँ चुनो।
Maths
Two by Two Determinant Formula
Multiply the main diagonal and subtract the other diagonal.
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Matrix Addition and Multiplication Rules
Check dimensions before adding or multiplying matrices.
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Divide a Polynomial by a Linear Factor
Use synthetic or long division and check quotient times divisor plus remainder.
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Factor Theorem and Zero Check
A zero of a polynomial gives a factor, and substitution verifies it.
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Remainder Theorem in One Step
Evaluate a polynomial at x equal to a to get the remainder on division by x minus a.
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HCF and LCM Relationship Check
Use product equals HCF times LCM for two positive integers.
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How to Prove a Root Is Irrational
Use contradiction and divisibility for square-root proofs.
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Euclid Algorithm for HCF
Repeat division with remainders until the last nonzero remainder.
Read article : Euclid Algorithm for HCFMaths
Simple Card Probability Without Replacement
Count favourable cards and update the total after each draw.
Read article : Simple Card Probability Without Replacement