हिंदी

Which of the following matrices are singular or non singular? [75-47] - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Which of the following matrices are singular or non singular?

`[(7, 5),(-4, 7)]`

योग

उत्तर

Let A = `[(7, 5),(-4, 7)]`

∴ |A| = `|(7, 5),(-4, 7)|`

= 49 + 20
= 69 ≠ 0
∴ A is a non-singular martix.

shaalaa.com
Determinant of a Matrix
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Matrices - Exercise 2.1 [पृष्ठ ४०]

APPEARS IN

संबंधित प्रश्न

Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by

aij = i – 3j


Construct a matrix A = `[a_("ij")]_(3 xx 2)` whose element aij is given by

aij = `(i + j)^3/(5)`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[(3, -2, 4),(0, 0, -5),(0, 0, 0)]`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[(5),(4),(-3)]`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[9   sqrt(2)   -3]`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[(6, 0),(0, 6)]`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[(3, 0, 0),(0, 5, 0),(0, 0, 1/3)]`


Classify each of the following matrices as a row, a column, a square, a diagonal, a scalar, a unit, an upper traingular, a lower triangular matrix.

`[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`


Which of the following matrices are singular or non singular?

`[(5, 0, 5),(1, 99, 100),(6, 99, 105)]`


Which of the following matrices are singular or non singular?

`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`


Find K if the following matrices are singular.

`[(7, 3),(-2, "K")]`


Find K if the following matrices are singular.

`[(4, 3, 1),(7, "K", 1),(10, 9, 1)]`


Find K if the following matrices are singular.

`[("K"-1, 2, 3),(3, 1, 2),(1, -2, 4)]`


Choose the correct alternative.

If A = diag [d1, d2, d3,...,dn], where di ≠ 0, for i = 1, 2, 3,...,n, then A–1 = _______


State whether the following is True or False :

If AB and BA both exist, then AB = BA.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×