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Matrices

Madhya Pradesh Board · Class 12 · Mathematics

Flashcards for Matrices — Madhya Pradesh Board Class 12 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

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An example illustrating two matrices that are equal, emphasizing that they must have the same order and corresponding elements must be identical.
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68 Flashcards
Card 1Introduction to matrices

Write the matrix for Radha, Fauzia, and Simran having notebooks and pens. What is its order?

Answer

Step 1: Place the data in rows for the three people and columns for notebooks and pens. Matrix = [15 6; 10 2; 13 5] Step 2: Count rows and columns. Rows = 3, columns = 2 Answer: The matrix is [15 6; 1

Card 2मैट्रिक्स का परिचय

राधा, फौज़िया और सिमरन के लिए नोटबुक और पेन रखने वाला मैट्रिक्स लिखिए। इसकी क्रम क्या है?

Answer

चरण 1: तीनों लोगों के लिए पंक्तियों में और नोटबुक और पेन के लिए कॉलम में डेटा रखें। Matrix = [15 6; 10 2; 13 5] चरण 2: पंक्तियों और कॉलमों की गिनती करें। Rows = 3, columns = 2 उत्तर: मैट्रिक्स [15 6;

Card 3मैट्रिक्स का क्रम

यदि किसी मैट्रिक्स में 8 तत्व हैं, तो उसके कितने संभावित क्रम हो सकते हैं?

Answer

चरण 1: m x n क्रम के मैट्रिक्स के लिए, अवयवों की संख्याs = mn. चरण 2: 8 के गुणनखंड युग्म ज्ञात कीजिए। 1 x 8, 8 x 1, 2 x 4, 4 x 2 उत्तर: संभावित क्रम 1 x 8, 8 x 1, 2 x 4, और 4 x 2 हैं।

Card 4Order of a matrix

If a matrix has 8 elements, what possible orders can it have?

Answer

Step 1: For a matrix of order m x n, number of elements = mn. Step 2: Find factor pairs of 8. 1 x 8, 8 x 1, 2 x 4, 4 x 2 Answer: Possible orders are 1 x 8, 8 x 1, 2 x 4, and 4 x 2.

Card 5General form of a matrix

For A = [aij]2x3, write the positions of a11, a23, and a32 if they exist.

Answer

Step 1: In [aij]m x n, i is the row number and j is the column number. Step 2: For A of order 2 x 3, i can be 1 or 2, and j can be 1, 2, or 3. So a11 is in row 1, column 1. a23 is in row 2, column 3.

Card 6मैट्रिक्स का सामान्य रूप

A = [aij]2x3 के लिए, a11, a23 और a32 की स्थिति लिखें यदि वे मौजूद हैं।

Answer

चरण 1: [aij]m x n में, i पंक्ति संख्या है और j कॉलम संख्या है। चरण 2: A के लिए, जो 2 x 3 क्रम का है, i 1 या 2 हो सकता है, और j 1, 2, या 3 हो सकता है। इसलिए a11 पंक्ति 1, कॉलम 1 में है। a23 पंक्ति 2, क

Card 7मैट्रिक्स का क्रम

एक मैट्रिक्स में 3 पंक्तियाँ और 2 कॉलम हैं। इसमें कितने तत्व हैं?

Answer

चरण 1: तत्वs = mn. की नियम संख्या का उपयोग करें। चरण 2: यहाँm = 3 and n = 2. है। चरण 3: गुणा करें। 3 x2 = 6 उत्तर: मैट्रिक्स में 6 तत्व हैं।

Card 8Order of a matrix

A matrix has 3 rows and 2 columns. How many elements does it have?

Answer

Step 1: Use the rule number of elements = mn. Step 2: Here m = 3 and n = 2. Step 3: Multiply. 3 x 2 = 6 Answer: The matrix has 6 elements.

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What are the important topics in Matrices for Madhya Pradesh Board Class 12 Mathematics?
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