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Exercise 3.3: Full Solutions | Matrices & Determinants | Class 10 Math|National book foundation
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In this detailed video, we cover Exercise 3.3 from the Class 10 Mathematics chapter "Matrices and Determinants" based on the National Book Foundation curriculum. All questions are solved step-by-step, including singular and non-singular matrices, adjoint, inverse, matrix equations, and solving systems of linear equations using Matrix Inversion Method and Cramer's Rule. Ideal for SSC Part-II students preparing for board exams.
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Timestamps (SEO Format):
▶ 00:00:00 – Q1 (a) Identify singular and non-singular matrices
▶ 00:06:30 – Q1 (b) Find k when |P| = 9
▶ 00:08:45 – Q1 (c) Find x using adjoint and |T| = 3
▶ 00:12:55 – Q2 (a) Find the multiplicative inverse if possible
▶ 00:19:40 – Q2 (b) Verify inverse of matrix R
▶ 00:31:40 – Q3: Verify inverse of matrix product YZ
▶ 00:43:30 – Q4: Relation among matrices
▶ 00:46:55 – Q5 (i) Convert matrix equation to linear system
▶ 00:48:25 – Q5 (ii) Convert matrix equation to linear system
▶ 00:49:49 – Q5 (iii) Convert matrix equation to linear system
▶ 00:50:30 – Q5 (iv) Convert matrix equation to linear system
▶ 00:51:23 – Q6 (a-i) Write linear system in matrix form
▶ 00:52:28 – Q6 (a-ii) Write linear system in matrix form
▶ 00:53:18 – Q6 (a-iii) Write linear system in matrix form
▶ 00:54:07 – Q6 (a-iv) Write linear system in matrix form
▶ 00:54:55 – Q6 (b) Find k when matrix is singular
▶ 00:56:37 – Q7 (a-i) Solve using Matrix Inversion Method
▶ 01:04:55 – Q7 (a-ii) Solve using Matrix Inversion Method
▶ 01:10:20 – Q7 (a-iii) Solve using Matrix Inversion Method
▶ 01:12:42 – Q7 (a-iv) Solve using Matrix Inversion Method
▶ 01:14:32 – Q7 (b-i) Solve using Cramer's Rule
▶ 01:18:20 – Q7 (b-ii) Solve using Cramer's Rule
▶ 01:22:20 – Q7 (b-iii) Solve using Cramer's Rule
▶ 01:27:15 – Q7 (b-iv) Solve using Cramer's Rule

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