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Mae ices Columns, Rows, Entries Columns 594 Rows s 218 2 by 3 matrix Entry, Session Objectives Determinant of a Square Matrix Minors and Cofactors Properties of Determinants Applications of Determinants Area of a Triangle Solution of System of Linear Equations (Cramer's Rule) Class Exercise, Determinants If A then IAI all If A = a21 is a square matrix of order 1, all is a square matrix of order 2, then a22 alla22 a21a12, Example 4 Evaluate the determinant : 2 5 4 Solution : 2 — 20+6 = 26 5, Solution If A = all a31 all a31 a22 a22 an a13 a23 a33 al 3 a23 a33 is a square matrix of order 3, then a22 = all a32 a23 a21 a23 a21 a22 a33 a31 a33 a31 a32 [Expanding along first row = all (a 22 a33 )-a12 a a a3F23 21 33 31 23 21 32 a31a22 11 22 33 12 31 23 13 21 32 11 23 32 12 21 33 13 31 2, Example Evaluate the determinant : Solution : 7 -3 4 [Expanding along first row] = + 8) -3(7 - 6) - +3) = 18-3-155, Minors -1 If A = 2 4 then 3 = Minor of all Mil — Minor of a21 M21 - = Minor of an M12 — Minor of an = -1 M22 -. - Extramarks, an online study portal, helps students to attain conceptual clarity and score more in the examination. Report a problem. Regular practice of these papers ensures that students score more in the examination. Business hours: Monday – Friday 10 AM – 6 PM Weird Alternative Methods for Multiplying Numbers from 91-99 (2) If D = O and DI -O, then the system is consistent and has infinitely many solutions. kal kbl b2 b3 I, Properties (Con.) Some definitions :- 2. Both teachers and students get bored with dull presentation topics. Ancient China and the Abacus. Mathematics (17 Slides) By: Chetan G. 12,830 views . Math PowerPoint PPT Presentations. It is very crucial for the students as well as parents to understand the curriculum of the CBSE board and how it would help the students in the future. - Free study online for CBSE Syllabus for Class 6 to 12 for NCERT solution. 1 = (a2 + b2 + c2)O 1 bc c(a-b) a(b-c) [Applying R 2 bc c -RI and R 3 +b2 +c2)(a-b)(b-c)(-ab-a2 +bc+c2) [Expanding along q], Determinants (Area qf aeTrjanglß) s e vertices are YD, (x2, Y2) and (x3, '13) is given by the expression 1 2, Example Find the area of a triangle whose vertices are (-1, 8), (-2, -3) and (3, 2). Many people think that getting their child admission into top 5 CBSE schools in Warangal would mean exposure and character building. Thus CBSE offers three Computer based subjects. PowerPoint slide on 12 CBSE Maths-Matrices compiled by Santhakumar S. Cramer's Rule (Gpn.) 4-5 lakhs, Teacher Graduation with three year diploma in, Interested schools should apply on plain paper. It includes study materials and online tutorials to help students attain conceptual clarity. Use the clues to work out the number. Free PowerPoint Presentations about Word Problems for Kids & Teachers (K-12) In fact, there are so many advantages and reasons behind choosing CBSE School over other state board schools. O O O c2 = O, Properties (Con.) First 1st grade classroom Math powerpoint games. Properties of Addition. CBSE 10th Result 2018, Central Board of Secondary Education - CBSE Result 2018, - CBSE 10th Result 2018 - CBSE Board 10th Exam 2018 will be conducted from 5th March to 4th April 2018. Free Presentations in PowerPoint format. 05/04 dated 13.02.2004, 18/04 dated, Seven Point grading scale has been notified, It will facilitate maintenance of meaningful, Already internal evaluation existed at secondary. History of the Abacus. Cramer's Rule (Gpn.) It will allow the listeners- our learners to visualize what we are talking about. They can see the real life example on attached pictures instead of … - CBSE Solutions in PDF download is available for Class Pre-school to Senior Section by expert teachers from latest edition books (2019-2020) and as per NCERT syllabus, get 100% learning solution in one place. By Cramer's Rule D 51 and z = D -102=-2 51, Example Solve the following system of homogeneous linear equations: x + y -z = O, x- 2y + z = O, 3x + 6y + -5z = O Solution: We have D = 1 1 3 1 -2 6 -1 1 = 4+8-12=0 The system has infinitely many solutions. Addition. One more than my number has 1 one. Learn how to add math expressions and equations to PowerPoint slides for making more robust presentations and playing math games.. With the tutorials given below, you can learn how to efficiently incorporate math symbols, equations and expressions in PowerPoint, as well as how to play math games for making your class lectures or study sessions more fun. al al Cl [Applying R 2 RI] C3, Properties (Con.) Winner of the Standing Ovation Award for “Best PowerPoint Templates” from Presentations Magazine. View US version. 2x 1 2x O [Applying R 2 -RI and R 3 Now expanding along Cl , we get =R.H.S, Example -9 Using properties of determinants, prove that x+9 x x x x x+9 x x x+9 = 243 (x+3) Solution : L.H.S= X x x X x X x x x x [Applying C 1 .+C2 + C 3], Solution Cont. NIF is processing the best for patenting them. Induction courses for first generation principals. Free Presentations in PowerPoint format. If so, share your PPT presentation slides online with PowerShow.com. Minors If A = Mll - , then — Minor of all = determinant of the order 2 x 2 square sub-matrix is obtained by leaving first row and first column of A Similarly, M23 = Minor of a23 4 2 7 3 = 12-14=-2 4 — Minor of an -9 8 = +72 = 72 etc.
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