Operations With Matrices

Discussion in 'Linear and Abstract Algebra' started by nycmathguy, Jun 13, 2022.

  1. nycmathguy

    nycmathguy

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    Directions:

    Do question 2 and set up question 1 for me.



    IMG_20220612_185956.jpg
     
    nycmathguy, Jun 13, 2022
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  2. nycmathguy

    HallsofIvy

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    [math]2A= 2\begin{bmatrix}6 & -
     
    HallsofIvy, Aug 28, 2023
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  3. nycmathguy

    HallsofIvy

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    To multiply a matrix by a number, multiply each entry in the matrix by that number:
    [math]a\begin{bmatrix}p & q \\ r & s \end{bmatrix}= \begin{bmatrix}ap & aq \\ ar & as \end{bmatrix}[/math].

    To add two matrices, add the corresponding entries:
    [math]\begin{bmatrix} a & b \\ c & d \end{bmatri}+ \begin{bmatrix} p &
     
    HallsofIvy, Oct 6, 2023
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    e.jane.aran likes this.
  4. nycmathguy

    e.jane.aran

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    (1) Follow the definition of scalar multiplication: multiply every element of matrix A by 2.

    (2) Follow the definition of scalar multiplication: multiply every element of matrix A by 1/2. Then follow the definition of matrix addition: add corresponding elements of B and (1/2)A.
     
    e.jane.aran, Oct 7, 2023
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