Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है
SubjectsMathematics
आव्यूह का ट्रांसपोज़
In this Class 12 Mathematics topic from the chapter Matrix, students learn how to form the transpose of a matrix by interchanging its rows and columns. They practise writing the transpose using the notation Aᵀ, identify how the order changes from m × n to n × m, and verify key properties such as (Aᵀ)ᵀ = A and (A + B)ᵀ = Aᵀ + Bᵀ. The topic also builds understanding of symmetric matrices and prepares students for further matrix operations.
TOPIC PRACTICE
Up to 1 questions from this page. Select your focus, then start.
Matrix \(A\) has 2 rows and 3 columns, so its order is \((2\times3)\). The transpose swaps rows and columns, hence \(A^T\) has order \((3\times2)\). The option \((2\times3)\) refers to the original matrix, not the transpose. Exam tip: read every matrix as "rows × columns" and flip them for the transpose.
View question detailsQUIZ COMPLETE
