MTH603 Midterm Solved MCQs

MTH603 MID TERM SOLVED MCQS

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Q1. of 10 ( Start time: 04:40:08 PM )

Total Marks: 1 The determinant of a diagonal matrix is the product of the diagonal elements.

1. True
2. False

Q2. of 10 ( Start time: 04:40:58 PM )

Total Marks: 1 Power method is applicable if the eigen vectors corresponding to eigen values are linearly independent.

1. True
2. false

A 3 x 3 identity matrix have three and different eigen values.

1. True
2. False
3. True
4. False

The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.

1. No
2. At least one

An eigenvector V is said to be normalized if the coordinate of largest magnitude is equal to

1. Unity
2. zero

The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

1. True
2. False

The determinant of a _______ matrix is the product of the diagonal elements.

1. Diagonal
2. Upper triangular
3. Lower triangular
4. Scalar

Waisay main nay is ka answer Diagnol keea tha….par yeh charon options theek hain…. You can confirm it from internet…

Jab main yeh MCQ kar raha tha tou tab hi mujhay is par shak ho raha tha….kyun k upper aur lower triangular matrices tou linear algebra mein bhi bahut ziada bataye gaye tou yeh property wahan se hi yaad thi…

1. Real
2. Zero
3. Positive

4. Negative

The Power method can be used only to find the eigen value of A that is largest in absolute value—we call this eigen value the dominant eigen value of A.

1. True
2. False

The characteristics polynomial of a 3x 3 identity matrix is __________, if x is the eigen values of the given 3 x 3 identity matrix. where symbol ^ shows power. 1. (x-1)^3 2. (x+1)^3 3. x^3-1 4. x^3+1 For differences methods we require the set of values.

1. True
2. False
3. True
4. False

If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

1. True
2. False

a ko agar aap lambda se replace kar dain tou baat clear ho jaye gi….labda ki jagah a use keea gaya hai tou is liay yeh working thora sa confuse karti hai…

Central difference method seems to be giving a better approximation, however it requires more computations.

1. True
2. False

Iterative algorithms can be more rapid than direct methods.

1. True (main nay true hi keea tha, aap isay dekh lena)
2. False

Central Difference method is the finite difference method.

1. True
2. False

MTH603 Numerical Analysis · Mid Term Examination - Spring 2006 · Time Allowed: 90 Minutes