Lakshesh Verma Lakshesh Verma

Lecture 5 : Adjoint and inverse of a matrix

  • Chapter-4. Determinants Assignments 1

     

    If A is an invertible matrix of order 2, then det(A - 1)

     is equal toA. det (A) B.  C. 1 D. 0

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  • Chapter-4. Determinants Assignments 2

      

    Let A be a nonsingular square matrix of order 3 × 3. Then  is equal to

    A.  B.  C.  D. 

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  • Chapter-4. Determinants Assignments 3

      

    If verify that A3 - 6A2 + 9A - 4I = O and hence find A - 1

     

     

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  • Chapter-4. Determinants Assignments 4

    For the matrixshow that A3 - 6A2 + 5A + 11 I = O. Hence, find A - 1.

     

     

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  • Chapter-4. Determinants Assignments 5

      

    For the matrix, find the numbers a and b such that A2 + aA + bI = O.

     

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  • Chapter-4. Determinants Assignments 6

      

    If, show that. Hence find.

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  • Chapter-4. Determinants Assignments 7

      

    Let and. Verify that 

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  • Chapter-4. Determinants Assignments 8

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 9

     

    Find the inverse of each of the matrices (if it exists).

    .

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  • Chapter-4. Determinants Assignments 10

     

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 11

     

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 12

     

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 13

     

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 14

     

    Find the inverse of each of the matrices (if it exists).

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  • Chapter-4. Determinants Assignments 15

      

    Verify A (adj A) = (adj A) A = I .

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  • Chapter-4. Determinants Assignments 16

     

    Verify A (adj A) = (adj A) A = I .

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  • Chapter-4. Determinants Assignments 17

      

    Find adjoint of each of the matrices.

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  • Chapter-4. Determinants Assignments 18

     

    Find adjoint of each of the matrices.

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    • Description:-

    Lecture 5:
    Today, we will discuss the next topic, i.e; Adjoint and inverse of a matrix of Chapter 4 Determinants.
    Objectives:
    1. Basic concept of Adjoint and inverse of a matrix.
     Important Tip: 
    This lecture is about Adjoint and inverse of a matrix. In this topic, you’ll get to learn all about Adjoint and inverse of a matrix. Have a clear focus on these topics as it help you in further studies also.
    Please go through the topic, their notes. Properly do the assignments, watch videos of the concerned topics. If you have any doubt about any topic/point please submit it in the discussion section... it will be answered as soon as possible.
    After all of this... when you feel confident about the particular topic/chapter then take the quiz.

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