Answer :

A =

Let B = A^{T} =

|B| =

= ( – 1 – 8) – 0 – 2( – 8 + 3) = – 9 + 10 = 1

Cofactors of B are:

C_{11} = – 9 C_{21} = 8 C_{31} = – 5

C_{12} = – 8 C_{22} = 7 C_{32} = – 4

C_{13} = – 2 C_{23} = 2 C_{33} = – 1

adj B =

=

So, adj B =

Now, B ^{– 1} =

Hence, (A^{T}) ^{– 1}

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Determinants of Matrices of different order59 mins

Determining a determinant63 mins

Types of Matrices & Properties51 mins

Interactive Quiz on Matrices and Determinants41 mins

Triangular Matrices & operations on matrices58 mins

Know About finding the Adjoint & Inverse Of Matrix46 mins

Interactive Quiz on Properties of Determinants43 mins

Lecture on Product of Determinants58 mins

Test Yourself, Properties of Determinants30 mins

Interactive Quiz on Matrices & Determinants48 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Using matrices, solve the following system of equations:

2x + 3y + 3z = 5, x – 2y + z = – 4, 3x – y – 2z = 3

Mathematics - Board PapersIf find Using solve the system of equation

Mathematics - Board PapersSolve for using properties of determinants.

**OR**

Using elementary row operations find the inverse of a matrix and hence solve the following system of equations

Mathematics - Board Papers