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If a matrix has order m-by-n. What will be the order of transpose matrix.
a) m-by-n                             
b) n-by-m
c) n-by-n                                               
d) none of these

b

Explanation:option (b) is correct because in transpose matrix we change rows into columns or columns into rows, so order is inverted i.e. columns become rows and rows become columns.



If the order of matrix is 2-by-3 then order of transpose matrix will be…..
a) 2-by-3                               
b) 3-by-2
c) 2-by-2                               
d) none of these

b

Transpose of a matrix A is denoted by……..…
a)At                        
b) tA
c) both a and b     
d) none of these

a

A matrix obtained by changing the signs of all entries is called…………...matrix
a) symmetric                        
b) square           
c) negative                            
d) none of these

c

Negative of a matrix A is denoted by……     
a) At.                                                           
b)-A 
c)A                                          
d) none of these

b


a