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Row Matrix A matrix is called a row matrix, if it has only one row. e.g., the matrix $ M =  \begin {bmatrix} 2 & -1 & 7 \\ \end{bmatrix} $ is a row matrix of order 1-by-3 and $ N =  \begin {bmatrix} 1 & -1 \\ \end{bmatrix} $ is a row matrix of order 1-by-2. Column Matrix A ...

Question 1. Find the order of the following matrices. Solution: $$ A = \begin {bmatrix} 2 & 3 \\ -5 & 6 \\ \end{bmatrix} $$ Order of matrix A is 2-by-2   $$ B = \begin {bmatrix} 2 & 0 \\ 3 & 5 \\ \end{bmatrix} $$ Order of matrix B is 2-by-2   $$ C = \begin {bmatrix} 2 ...

Questions/Answers from Past Papers Q u e s t i o n A digital stop-clock measures time in minutes and seconds.The stop-clock reads 00:50 when it is started (i.e. 00 minutes 50 seconds).It reads 02:10 when it is stopped.What is the shortest possible time that has elapsed between starting and stopping the stop-clock? A   1 minute 20 secondsB   ...

Question 1. Answer the following questions. a) Why is the classification of living things necessary? Biologists divide living things into different groups. This is called classification. Dividing living things into groups helps us to understand how all the different living things in the world fit into a pattern. b) How many different kinds of animals and plants have biologists discovered ...

bunk     a narrow bed fixed to the walls of a compartment in a train buzz     sound made by a flying insect compartment     a part of a passenger train in which there are seats or sleeping space doze     sleep lightly for a short time force of habit     done without thinking itch     to have a tickling feeling porch     a roofed place outside ...

Question 1. Write the following quadratic equations in the standard form and point out pure quadratic equations. $ \pmb{ (i). \;\;\;\;\; (x + 7) (x – 3) = -7} $ Solution: The given quadratic equation is $$ (x + 7) (x – 3) = -7 \;\;\;\;\; (i) $$ Multiplying the expressions $ (x + 7) $ and $ (x – ...

In this method, write the quadratic equation in the standard form as ax2 + bx + c = 0          (i) If two numbers r and s can be found for the equation (i) such that r + s = b and rs = ac then ax2 + bx + c can be factorized into two linear factors. Example Solve the ...

‏کِم میرا چینی دوست ھے۔ کل مارکیٹ میں اس سے ملاقات ہوگئی ۔ مَیں نے کہا: کِم، لوگ ہمیشہ کہتے ہیں کہ سب چینیوں کی شکلیں ایک جیسی ہوتی ہیں، پہچانے ہی نہیں جاتے. یہ سب سن سن کر تمہیں غصہ تو آتا ہوگا. وہ بولا: اِس کا صحیح جواب تو کِم ہی دے سکتا ہے. مَیں تو اُس کی ...

خشونت سنگھ لکھتے ہیں : “ایک بار میں جہاز میں ممبئی سے سنگاپور جارہا تھا. ایک خاتون میرے برابر کی سیٹ پر بیٹھی ہوئی مجھے مسلسل گھورے جارہی تھیں. میں سمجھ گیا کہ اس عورت نے آج تک کوئی سردار نہیں دیکھا. سفر کے دوران جب ایئر ہوسٹس چائے اور اسنیک لائی تو میں نے سوچا کہ اس خاتون سے ...

If you have relatives in Pakistan who have school, college and University going kids, following is the list of scholarships that are available so please share with your families: Please circulate this information for the benefit of deserving students. List of Scholarship Funding Agencies, NGO’s , Foundations in Pakistan providing Study Funds and Scholarships:- 1: Hashoo Foundation Scholarship Program http://www.hashoofoundation.org/education_program.php ...