Multiply the given matrix. After performing the multiplication, describe what happens to the elements in the first matrix. begin{bmatrix}a_{11} & a_{12} a_{21} & a_{22} end{bmatrix}begin{bmatrix}1 & 0 0 & 1 end{bmatrix}

Falak Kinney 2021-01-28 Answered
Multiply the given matrix. After performing the multiplication, describe what happens to the elements in the first matrix. [a11a12a21a22][1001]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

gwibdaithq
Answered 2021-01-29 Author has 84 answers
Step 1
Given: [a11a12a21a22][1001]
Step 2
Let matrix A=[a11a12a21a22] & matrix B=[1001]
we have to find the multiplication of matrices A&B that means we have to find A×B
We know the formula for multiplication of 2×2 matrices.
[a11a12a21a22][b11b12b21b22]=[a11b11+a12b21a11b12+a12b22a21b11+a22b21a22b12+a22b22]
Step 3
Here from matrix A we get,
a11=a11,a12=a12,a21=a21,a22=a22
from matrix B we get,
b11=1,b12=0,b21=0,b22=1
Thus matrix multiplication A×B becomes,
[a11a12a21a22][1001]=[(a11×1)+(a12×0)(a11×0)+(a12×1)(a21×1)+(a22×0)(a22×0)+(a22×1)]
=[a11+00+a12a21+00+a22]
=[a11a12a21a22]
Step 4
Therefore we get,
A×B=[a11a12a21a22]
Thus after multiplication of matrices A & B we get again the matrix which equals A.
After multiplication of two matrices the elements in the first matrix remains same.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-24 Author has 2047 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more