Saturday, 10 December 2016

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
a)                                                                                                                                          b)         –A
| A|
c)         A–1                                                       d)        None of these
7)                   Cofactor of an element aij is defined by
a)                                                                                                                                          (–1)i+j |A|                                             b)         (–1)i+j Mij
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)               Bt At = (?)t
a)                                                                                                                                          BA                                                       b)         AB
c)         AtB                                                      d)         ABt
16)               If a square matrix, ( A )t = A is called
a)                                                                                                                                          Symmetric                                           b)         Skew Symmetric

c)         Hermition                                            d)         Skew Hermition