3 Matrices and Determinants

Chapter 03: Matrices and Determinants

3)                   The transpose of a row matrix is a 

a)                                                                                                                                          column matrix                                     b)         row matrix 

                c)          scalar matrix                                       d)         null matrix 

4)                   The transpose of a rectangular matrix is a 

a)                                                                                                                                          square matrix                                       b)         rectangular matrix 

                c)         row matrix                                           d)         column matrix 

5)                   The number of non zero rows in echelon form of a matrix is called

a)                                                                                                                                          order of matrix                                    b)         rank of matrix 

                c)         row operation                                      d)         none of these 

6)                   The additive inverse of a matrix A is  adjA

a)                                                                                                                                          b)         –A

| A|

                c)         A^–1                                                       d)        None of these 

7)                   Cofactor of an element a_ij is defined by 

a)                                                                                                                                          (–1)^i+j |A|                                             b)         (–1)^i+j M_ij 

                c)         (–1)^i+j M^–1                                           d)        None of these 

10)               Matrices are represented by 

a)                                                                                                                                          natural numbers                                   b)         real numbers 

                c)         small letters                                         d)         capital letters 

13)               If A,B,C are three matrices such that AB = C, then 

a)                                                                                                                                          B = A^–1C                                             b)         C^–1 A = B

                c)         B = CA                                               d)         B = AC

14)               The solution of the system of equations 

3x₁ + x₂ – x₃ =             –4 x₁ + x₂ – 2x₃ =             –4

                 –x₁ + 2x₂ – x₃ =          1

is 

a)                                                                                                                                          x₁ = 1, x₂ = –1, x₃ = 2                          b)         x₁ = –1, x₂ = 1, x₃ = 2

                c)         x₁ = 2, x₂ = 2, x₃ = 1                           d)         x₁ = –2, x₂ = 2, x₃ = –1

15)               B^t A^t = (?)^t

a)                                                                                                                                          BA                                                       b)         AB

                c)         A^tB                                                      d)         AB^t

16)               If a square matrix, ( A )^t = A is called 

a)                                                                                                                                          Symmetric                                           b)         Skew Symmetric 

                c)         Hermition                                            d)         Skew Hermition