Ex 4.3 | Q # 3 Complete | Matrices & Determinants | 11 Math | Cramer's Rule | New PTB 2025 |نئی کتاب
Welcome to Learn with Khuram! In this video, we solve Exercise 4.3, Question #3 from the new 11th Class Mathematics Book 2025 (PTB) using Cramer’s Rule. This method helps you solve systems of linear equations using determinants. We provide a step-by-step full solution for all three parts of Question 3. 📘 Topic: Chapter 4 – Matrices & Determinants 📘 Exercise: 4.3 📘 Method Used: Cramer’s Rule 📘 Language: Urdu + English (Bilingual) 📘 Board: Punjab Textbook Board (PTB) 2025 – New Book 📘 Class: 1st Year (11th Class) 📌 Chapters Covered: ✔️ Solving Systems of Equations ✔️ Matrix Methods ✔️ Cramer’s Rule Explanation ✔️ Determinants ✔️ Rank of a Matrix (briefly referenced) 👉 Don’t forget to like, share, and subscribe for more 1st-year math content. #LearnWithKhuram #MathClass11 #PTB2025 #learnwithkhuram 1st year math new book 2025, 1st year math chapter 4, Exercise 4.3 full solution, matrices and determinants, cramer’s rule class 11, determinant method, matrix solution, 11 class math PTB, urdu math solution, cramer rule urdu, punjab board math, 11th class exercise 4.3, new syllabus math, board exam prep 2025, math solution khuram, class 11 cramer rule, solving equations matrix, exercise 4.3 question 3, urdu math cramer, how to use cramer’s rule, solve 3x3 matrix, full cramer solution, matrix system example, 1st year math 2025 book, chapter 4 exercise 4.3, 3 equations 3 unknowns, punjab textbook board, determinant method class 11, new math book 11, step-by-step cramer rule, 1st year full math solution, urdu medium math 11, learn cramer rule, exam prep 2025 class 11, exercise 4.3 urdu explanation, class 11 new book cramer, solve using determinants, matrices class 11 PTB, math board solution, urdu lectures math, exercise 4.3 solved, determinant tricks urdu, math for FSC part 1, FSC part 1 math solution, class 11 video lectures, math tricks urdu, matric and inter, inter part 1 math, new math paper 2025, rank of matrix, urdu cramer, exercise 4.3 step by step, how to solve matrix in urdu, new syllabus 2025, PTB chapter 4 cramer rule, class 11 urdu math chapter 4, punjab board chapter 4, matrix cramer question, solving system cramer rule, cramer rule tutorial, determinant solution video, inter part 1 math urdu, class 11 math exam prep, class 11 online math lecture, 11th class determinant questions, how to find determinant, math new PTB solution, class 11 cramer’s rule solved, exercise 4.3 punjab board, PTB cramer rule lecture, FSC part 1 cramer’s method, 11th class complete math, math cramer solved urdu, urdu step-by-step solution, matrix determinant solution, 3x3 cramer urdu, PTB math explanation, urdu math teacher, math explained in urdu, learn math urdu, determinant full explanation, matrix method urdu, cramer’s method explained, linear system 3x3, math question 3 full solution, matrix solve step-by-step. #ex43 #exercise43 #cramersrule #cramer #11thclassmath #fscmath #matrices #determinants #matrixsolution #class11math #punjabboard2025 #newbook2025 #mathsolution #urdulecture #mathlecture #cramerruleinurdu #howtofinddeterminant #stepbystepsolution #solveusingcramer #fscpart1math #mathchapter4 #chapter4math #matricesanddeterminants #mathurdu #matrixmethod #math2025 #punjabtextbookboard #class11syllabus #fscmathsolution #learnwithkhuram #mathquestion3 #mathvideolecture #mathpractice #cramersolved #matrixtricks #howtosolveequations #determinantmethod #intermath #1styearmath #urducramer #solving3x3matrix #3x3determinant #mathwithkhuram #chapter4exercise43 #class11matrices #1styearchapter4 #cramersexplained #ex43solved #mathexercise43 #1styearmathsolution #mathhelp #mathtricks #mathstepbystep #mathdeterminants #punjabmath #2025mathbook #cramermethod #class11matrixsolution #boardexam2025 #mathptb #mathurdumedium #math3variables #matrixvideo #class11newbook #class11newsyllabus #matrixcramer #mathquestion3solved #mathguide11 #math11solution #1styearurdu #newmathbook11 #mathpunjabboard #11mathfullsolution #mathsolutioninurdu #fscnewmath #ptbmathbook2025 #math2025syllabus #class11math2025 #newbooksolution #mathmatrixmethod #class11newbook2025 #mathrevision #11mathpractice #mathboardprep #cramerruleexample #matrixsystem #cramerruletutorial #mathlecturesinurdu #urduclass11math #1styearsyllabus2025 #cramerrule3equations #math3equations #math3unknowns #mathsolutionstepbystep #class11mathpractice #urduboardmath #cramertricks #mathsystemsolver #linearalgebraclass11 #determinantmatrix #matrixrank #rankofmatrixclass11 #matrixsolutionsolved #mathvideosforstudents #urduboardsolution #1styearmathnewbook2025 #fscmathptb #matrixexercise43 #exercise43question3 #cramersrulevideo #matrixcalculation #mathforyou #mathlearning #11mathurdusolution #1styearmathpractice #ptb2025math #newmathbook2025 #mathstepguide #class11practice #class11cramersmethod #mathcramerrulesolved #mathcalculationsteps #mathwithsteps #mathpractice11 #mathsolutionfull #matrixalgebra11 #mathstudyguide #mathstudenthelp
