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FSc Part 1 (KPK Boards)
Notes of FSc Part 1 of “A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar. We are posting the notes chapter-wise. These notes are shared as open educational resources. This page will be continuously updated.
| Author: | Engr. Majid Amin |
|---|---|
| Type: | Solutions only |
| Sender: | Muhammad Kareem |
| Format: | PDF Scanned (Handwritten) |
Chapter 01: Complex Numbers
Objectives
After reading this unit the students will be able to:
- know complex numbers, its conjugate and absolute value.
- understand algebraic properties of complex numbers.
- recongnize real and imaginary parts of different types of complex numbers.
- know the solution of simultaneous linear equations with complex co-efficients.
- write the polynomial $P(z)$ as product of linear factors.
- solve quadratic equations in complex variable with real co-efficients.
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Chapter 02: Matrices and Determinants
Objectives
After reading this unit the students will be able to:
- know a matrix and its notations, order of a matrix and equality of two matrices.
- understand types of matrices, algebra of matrices and some properties of matrix addition and scalar multiplication.
- describe determinant of a square matrix and its evaluation using cofactors.
- know adjoint of a square matrix and use of adjoint method to calculate inverse of a square matrix.
- state and prove properties of determinants.
- know elementary row and column operations on matrices.
- recognize echelon and reduced echelon form of a matrix and rank of a matrix.
- solve a system of linear equations of both homogeneous and non-homogeneous equations.