# Rank of the matrix A= is

1.  0

2.  1

3.  3

4.  4

4

3

Explanation :
No Explanation available for this question

# Eigen values of the matrix are

1.  1,1,1

2.  1,1,2

3.  1,4,4

4.  1,2,4

4

1,4,4

Explanation :
No Explanation available for this question

# Rank of the following (n+1)x(n+1) matrix, where a is a real number, is

1.  1

2.  2

3.  N

4.  Dependent upon the values of A

4

1

Explanation :
No Explanation available for this question

# Matrices and commute under multiplication

1.  If a=b or =nπ, where n is an integer

2.  Always

3.  Never

4.  If a cos?≠b sin?

4

If a=b or =nπ, where n is an integer

Explanation :
No Explanation available for this question

# If A= Then

1.  A=-A

2.  A?=A

3.  A?=1/A

4.  None of these

4

A=-A

Explanation :
No Explanation available for this question

# Eigen values of the system represented by X= X are

1.  0,0,0,0

2.  1,1,1,1

3.  0,0,0,-1

4.  1,0,0,0

4

1,0,0,0

Explanation :
No Explanation available for this question

# Rank of the matrix is

1.  4

2.  2

3.  1

4.  0

4

1

Explanation :
No Explanation available for this question

# Matrix A= is not

1.  Orthogonal

2.  Non-singular

3.  Singular

4.  Have A- exists

4

Non-singular

Explanation :
No Explanation available for this question

# In the matrix equation Px=q, which of the following is a necessary condition for the existence of at least one solution for the unknown vector x

1.  Augmented matrix [Pq] must have the same rank as matrix P

2.  Vector q must have only non-zero elements

3.  Matrix P must be singular

4.  Matrix P must be square

4

Augmented matrix [Pq] must have the same rank as matrix P

Explanation :
No Explanation available for this question

# Eigen vectors of a real symmetric matrix corresponding to different eigen values are

1.  Orthogonal

2.  Singular

3.  Non-singular

4.  None of these

4