aiou code 1349 chapter 7 solution

Unit# 7

Matrix is a collection of numbers arranged into a fixed number of rows and columns .
The vertical lines of matrix A is called column.
Elements of matrix can be written as aij where i always represents the position of element in row.
Equal matrix is a matrix in which number of columns and rows are equal .
Row matrix is a matrix having one row and several columns .
In diagonal matrix all the elements are zero except the elements in the main diagonal.
If all elements of any row or column equal to zero , then determinant of that matrix is equal to zero.
If the matrix B is obtained from the matrix A by multiplying every element of matrix A by scalar k then |A|=k|B|
The matrix inverse can be used to determine the solution set for a system of equations.
Null matrix is a matrix in which every element of matrix is zero .

1.If the determinant of a matrix A is zero, then matrix A is known as __________

a)non-singular matrix b)identity matrix c) singular matrix d)scalar matrix

2._________is the order of matrix having m rows and n columns .

a)m/n b)m+n c)m-n d)m*n

3.In a column matrix A=aij

a)i>1 and j=1 b)i=1 and j=1 c)i>1 and j>1 d)i=1 and j>1

4.A=| 1 |

| 0 |

| 1 |

a) Square b)Column c)Null d)Row

5.If A is a matrix and A=A^t , then this a __________matrix

a)Symmetric b)non-symmetric c)Singular d)non-singular

6)The order of matrix A =|1 0| is _____________

|2 4|

|-1 3|

a)3*3 b)2*3 c)3*2 d)3*1

7)In a scalar matrix all elements of principal diagonal are __________

a)Null b)Different c)Same d)Both a and c

8)Transpose of a column matrix is a __________

a)Column matrix b)Identity matrix c)Unit matrix d)Row matrix

9)Unit matrix is known as __________

a)Identity matrix b)Finite matrix c)Infinite matrix d)zero matrix

10) Matrix A is non-singular matrix if___________

a)(|A|=0) b)(|A|!=0) c)(|A|<=0) d)(|A|>=0)

Matrix is an arrangement of numbers and symbols belonging to a situation . T/F
In null matrix all entries are greater than 0. T/F
The inverse of matrix A can be found by dividing the determinant of matrix A with the adjoint matrix T/F.
A be a square matrix and its cofactor matrix is represented as Ac and adjoint of matrix A is adj(A),then adj(A)!=(A_c)^{t T/F}
If all the elements of any row/column equal to zero , then determinant of that matrix is not equal to zero . T/F
For a matrix A to have an inverse it must be a square matrix . T/F
Inverse of matrix A will also be square and of the same dimension as A. T/F
The transpose A^t of A is obtained by interchanging columns and rows of matrix A. T/F
If two rows/columns are identical then the determinant is not equal to zero . T/F
If any multiple of one /column is added to another row/column , the value of the determinant in changed . T/F