Linear Algebra

Question 61

The Guass-Seidal iterative method can be used to solve which of the following sets?

• Linear algebraic equations
• Linear and non-linear algebraic equations
• Linear differential equations
• Linear and non-linear differential equations

Question 62

How many solutions are there for the equation x + y + z + u = 29 subject to the constraints that x ≥ 1, y ≥ 2, z ≥ 3 and u ≥ 0?

• 4960
• 2600
• 23751
• 8855

Question 63

Match the following:

• (1)
• (2)
• (3)
• (4)

Question 64

If A and B are square matrices with same order and A is symmetric, then B^TAB

• Skew symmetric
• Symmetric
• Orthogonal
• Idempotent

Question 65

A square matrix A is called orthogonal if A\'A =

• I
• A
• -A
• -I

Question 66

If two adjacent rows of a determinant are interchanged, the value of the determinant

• becomes zero
• remains unaltered
• becomes infinitive
• becomes negative of its original value

Question 67

If A, B, C are any three matrices, then A\'+ B\'+ C\' is equal to

• a null matrix
• A+B+C
• (A+B+C)\'
• -(A+B+C)

Question 68

then, find the value of x

• 2
• 3
• 4
• 5

Question 69

• 779
• 679
• 0
• 256

Question 70

If a square matrix A satisfies A^T = I, then the matrix, A is

• Idempotent
• Symmetric
• Orthogonal
• Hermitian