Find the matrices: a)A + B b) A - B c) -4A d)3A + 2B. A=begin{bmatrix}3&1 &1-1&2&5 end{bmatrix} , B=begin{bmatrix}2&-3 &6-3&1&-4 end{bmatrix}

arenceabigns 2021-03-02 Answered
Find the matrices:
a)A + B
b) A - B
c) -4A
d)3A + 2B.
A=[311125],B=[236314]
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

tabuordy
Answered 2021-03-03 Author has 91 answers
Step 1
Consider the given matrices
A=[311125],B=[236314]
Step 2
(a) part
Now,
A+B=[311125]+[236314]
=[3+21+(3)1+61+(3)2+15+(4)]
=[51371331]
=[527431]
Hence, the required sum of matrices A and B is A+B=[527431]
Step 3
(b) part
To find the difference of matirces A-B
AB=[311125][236314]
=[321(3)161(3)215(4)]
=[11+351+315+4]
=[145219]
Hence, the required sum of matrices A and B is AB=[145219]
Step 4
(c) part
Since, A=[311125] So , 4A=4×[311125]
=[4×34×14×14×(1)4×24×5]
[12444820] hence, the required matrix −4A is 4A=[12444820]
Step 5
(d) part
First find 3A,
Since, A=[311125] Then , 3A=3×[311125]
=[3×33×13×13×(1)3×23×5]
[9333615]
Now find matrix 2B,
Since, B=[236314]
Then, 2B=2×[236314]
Jeffrey Jordon
Answered 2022-01-14 Author has 2064 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

Relevant Questions

asked 2021-02-08
Let B be a 4x4 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 (column dimension is reduced by 1).
(a) Write the result as a product of eight matrices.
(b) Write it again as a product of ABC (same B) of three matrices.
asked 2021-01-31
Find a basis for the space of 2×2 diagonal matrices.
Basis ={[],[]}
asked 2021-02-02
For the following Leslie matrix , find an approximate expression for the population distribution after n years , given that the initial population distribution is given by X(0)=[20004000],Ln=[0.80.41.20]
Select the correct choice below and fill in the answer boxes to complete your choise.
a)X()()n[1()]
b)X()n[1()]
asked 2021-11-19
Use the given of the coefficient matrix to solve the following system.
7x1+3x2=6
6x13x2=4
A1=[11273]
asked 2020-12-02
find the product of AB?
A=[316050]
B=[153123]
a) [21766301852515]
b) [166182103025176]
c) [216232305251217]
d) The product is not defined
asked 2020-11-10
Determine whether the subset of Mn,n is a subspace of Mn,n with the standard operations. Justify your answer.
The set of all n×n matrices whose entries sum to zero
asked 2021-01-06
Prove that if B is symmetric, then B is the largest eigenvalue of B.