ALGEBRA MCQS TEST WITH ANSWERS

Let u=(1,-2,3),v=(4,5,-1),w=(2,7,4) then v.w = ?

The other name of Minkowski’s inequality is

Let A be a real matrix. Then which of the followings are equivalent:

is known as

If then A must be

For orthogonal matrix A, the matrix A must be

If then matrix A is

A matrix A is said to be normal if
Then matrix A is

If then matrix A is

If then tr(A)=

Let A be a complex matrix. Then which of the following is
equivalent:

then iversr of A is

Let A = diag(1,-4,3) and B=diag(2,-5,0). Then AB=

Let then nonzero column vector u such that Cu=4u

Which of the following matrix is normal?

Let v = (4, 5, 1), w=(2, 7, 4). Then, v.w=

For any vectors u, v in is known as inequality

k × j =

k.k=

a=(5,-2) then |a|=

Let u=(1, k, 3) and v =(2, 5, 4) and u,v are orthogonal then k=

If u =(-3 ,12, 4) then ||u||=

A unit vector u orthogonal to v =[1, 3, 4]and w =[2, 6, 5] is

is known as

Let then diagonal(A)=

A matrix A is __________ if and only if A has a nonzero determinant.

A triangular matrix is a square matrix whose entries above the diagonal are all zero is known as

A triangular matrix is a square matrix whose entries below the diagonal are all zero is known as

Let is Hermition if and only if symmetric elements are

For non singular matrices A and B

A square matrix for which ,k being a positive integer, is called a matrix

For a square matrix A, A²=A is called

A square matrix for which where p is a positive integer is called

A square matrix A for which A²=I is called

Let A,B are the matrices of order 6 such that det(AB²)=72,det(A²B²)=144. The value of det(2A)=

Let then

If A is n×n skew symmetric matrix and n is odd then detA=

The process of finding from v is known as________ v

If (x,3)=(2,x+y) then y=