ECAT Pre Engineering MCQ Test With Answer for Chapter 5 Mathematics

A = [3] is a/an

• Square matrix A
• Scalar matrix B
• Diagonal matrix C
• Identity matrix D

The transpose of a column matrix is a ______

• Zero matrix A
• Diagonal matrix B
• Column matrix C
• Row matrix D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

• Diagonal matrix A
• Scalar matrix B
• Triangular matrix C
• Identity matrix D

The matrix A = [aij]1xn is a

• Vector A
• Rectangular matrix B
• Column vector C
• Square matrix D

The transport of a rectangular matrix is a

• Square matrix A
• Rectangular matrix B
• Row matrix C
• Column matrix D

Rank of matrix [1 3 5 0] is

• 1 A
• 3 B
• 2 C
• 4 D

• Identity matrix A
• Diagonal matrix B
• Null matrix C
• Hermitian matrix D

• K/6 A
• 2K B
• 3K C
• 6K D

For non-trival solution |A| is

• A = 0 A
• A^t= 0 B
• |A| = 0 C
• None of these D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

• 1 A
• -1 B
• 0 C
• I D

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

• 3K A
• K2 B
• K3 C
• K D

The transport of a null matrix is

• Row matrix A
• Column matrix B
• Square matrix C
• Null matrix D

• 16 A
• 256 B
• 64 C
• 1024 D

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

• 2 AB A
• 2 BA B
• A + B C
• AB D

• 
  A
• 
  B
• 
  C
• 
  D

If the matrices A and B are conformable for multiplication then (AB)^t= ______

• AB A
• A^tB^t B
• B^tA^t C
• A^tB D

For trival solution |A| is

• A A
• |A| is non zero B
• A = 0 C
• None of these D

• 0 A
• 1 B
• 2 C
• 4 D

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

• BA A
• A² B
• AB C
• B² D

• Orthogonal A
• Involutary B
• Idempotent C
• Nilpotent D

The matrix A = [aij]mxn with m≠n is

• Rectangular A
• Symmetric B
• Square C
• None D

• An upper triangular matrix A
• A lower triangular matrix B
• A diagonal matrix C
• A null matrix D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

• 5 A
• 15 B
• 10 C
• 20 D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

Matrices are represented by

• Natural numbers A
• Real numbers B
• Small letters C
• Capital letters D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a, b and c D