====== Chapter 03: Matrices and Determinants ======
{{ :fsc:fsc_part_1_solutions:fsc-1-chap-03-ptb.jpg|Chapter 03: Matrices and Determinants}}

Notes (Solutions) of Chapter 03: Matrices and Determinants, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.
====Contents & summary====

  * Introduction
    * Addition of Matrices
    * Scalar Multiplication
    * Subtraction of Matrices
    * Multiplication of two Matrices
  * Determinant of a $2\times2$ matrix
    * Singular and nonsingular Matrices
    * Adjjoint of a $2\times2$ matrix
    * Inverse of $2\times2$ matrix
  * Solution of simultaneous linear equations  by using matrices
    * Exercise 3.1
  * Field
  * Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplicaton.
    * Exercise 3.2
  * Determinants
    * Minor and Cofactor f an Element of a Maatrix or its Determinant
    * Determinant of a Square Matrix of Order $n\geq 3$
  * Properties of Determinants with help in their Evaluation
  * Adjoint and Inverse of a Square Matrix of order $n\geq 3$
    * Exercise 3.3
  * Elementary Row and Column Operations on a Matrix
  * Echelon and Reduce Echelon form of Martices
    * Exercise 3.4
  * System of Linear Equation
    * Homogeneous Linear Equation
    * Non-Homogeneous Linear Equations
  * Cramer`s Rule
    * Exercise 3.5

====Solutions====
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  * Exercise 3.1   %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:viewer&cp=1&p=10&ch=03&fp=Ex_3_1_FSC_part1|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_1_FSC_part1.pdf|Download PDF]] (322KB)

  * Exercise 3.2    %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:viewer&cp=1&p=10&ch=03&fp=Ex_3_2_FSC_part1|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_2_FSC_part1.pdf|Download PDF]] (507KB)

  * Exercise 3.3 (Handwritten)    %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:viewer&cp=1&p=10&ch=03&fp=Ex_3_3_FSC_part1|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_3_FSC_part1.pdf|Download PDF]] (493KB)

  * Exercise 3.4 (Handwritten)   %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:viewer&cp=1&p=5&ch=03&fp=Ex_3_4_FSC_part1|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_4_FSC_part1.pdf|Download PDF]] (560KB)

  * Exercise 3.5    %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:view&cp=01&p=14&ch=03&fp=Ex-3-5-FSC-part1|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex-3-5-FSC-part1.pdf|Download PDF]] (359KB)

  * Exercise 3.5 by Prof. Tahir Nazir  %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:view&cp=01&p=07&ch=03&fp=Ex_3_5_FSC_part1-tn|View Online]]  %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_5_FSC_part1-tn.pdf|Download PDF]] (208KB)

  * Exercise 3.5 by Prof. Shariq Mahataab %%|%% [[mdoku>fsc:fsc_part_1_solutions:ch03:view&cp=01&p=07&ch=03&fp=Ex_3_5_FSC_part1-sm|View Online]]     %%|%% [[pdf>files/fsc/fsc_part1/ch03/dn.php?file=Ex_3_5_FSC_part1-sm.pdf|Download PDF]] (262KB)
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====Notes by M. Fiaz Hussain====
The following notes are send by [[:people:fiaz]]. We are very thankful to him for sending these notes.
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  * Important Questions | {{ :fsc:fsc_part_1_solutions:ch03-fsc-part1-ptb-important-question.pdf |Download PDF}} NEW

  * Exercise 3.3 by Fiaz Hussain  | [[mdoku>fsc:fsc_part_1_solutions:ch03:view&cp=01&p=14&ch=03&fp=Ex-3-3-FSC-part1-fiaz-hussain|View Online]]  | {{ :fsc:fsc_part_1_solutions:ex-3-3-fsc-part1-fiaz-hussain.pdf |Download PDF}}

  * Exercise 3.4 by Fiaz Hussain   | [[mdoku>fsc:fsc_part_1_solutions:ch03:view&cp=01&p=04&ch=03&fp=Ex-3-4-FSC-part1-Fiaz-Hussain|View Online]]  | {{ :fsc:fsc_part_1_solutions:ex-3-4-fsc-part1-fiaz-hussain.pdf |Download PDF}}
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====Short Questions====
The following short questions was send by Mr. [[people:akhtar]].
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  * Chapter 03 | [[aafsc1>short-question-ch03-fsc-part1-akhtar-abbas|View Online]] | {{:fsc:fsc_part_1_mcqs:short-question-ch03-fsc-part1-akhtar-abbas.pdf|Download PDF}} NEW
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====Here are previous and next chapters====
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