Let B be a 4 times 4 matrix to which we apply the following operations: 1. double column 1, 2. halve row 3, 3. add row 3 to row 1, 4. interchange colu

Wierzycaz 2021-02-25 Answered
Let B be a 4×4 matrix to which we apply the following operations:
1. double column 1,
2. halve row 3,
3. add row 3 to row 1,
4. interchange columns 1 and 4,
5. subtract row 2 from each of the other rows,
6. replace column 4 by column 3,
7. delete column 1 (so that the column dimension is reduced by 1).
(a) Write the result as a product of eight matrices.
(b) Write it again as a product ABC (same B) of three matrices.
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

izboknil3
Answered 2021-02-26 Author has 99 answers
Step 1
Note: Here multiple questions posted, answer to the first three subparts are given. If there is a need for remaining too, kindly post it again with the remark.
Let B be a 4×4 matrix,
Let, B=[b11b12b13b14b21b22b23b24b31b32b33b34b41b42b43b44]
where, (bij) represents the element at the position, i'th row, and j'th column.Ri represents i'th row and Cj represents j'th column.
Step 2
1) Double column 1:
C12C1
B[2b11b12b13b142b21b22b23b242b31b32b33b342b41b42b43b44]
2) Halve row 3:
R312R3
B=[b11b12b13b14b21b22b23b2412b3112b3212b3312b34 b41b42b43b44]
Step 3
3) Add row 3 to row 1:
R1R1+R3
B=[b11+b31b12+b32b13+b33b14+b34b21b22b23b24b31b32b33b34 b41b42b43b44]
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