4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A = |1 5 6 l2 7 4 i- A = 4 [4 5 6

Q: Generally the matrices are denoted by Select one: a. capital letter b. small letter c. numbers d.…

A: Generally matrices are denoted using capital letter.

Q: Let A, B be  matrices of the same order. Then det(A+B)=det(A) + det(B).  True or false

A:

Q: Use the partitioned matrix technique to find the inverse of: 1 0 0 3 1 4 -5 -1 -1

A: This question is based on Matrix.

Q: O True

A: True

Q: Let A and B be similar matrices Show that if A? = A then B = B.

A: Two matrices C and D are said to be similar matrices if there exists a non-singular matrix P such…

Q: Characterize the image and kernel of the following matrices: 1 (443) -2 2 2

A:

Q: Consider the matrices shown below: A [閒 Compute tr((CTB)AT) 25

A:

Q: Compute eA for each of the following matrices:

A:

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

Q: Question 1 of 8 Find the volume of the solid that results when the region enclosed by e6x √1+e¹2x¹…

A: AB is the radius of circular disc.Volume using the disc methodV=∫06π(AB)2dx

Q: Let A be a 2 x 8, B be a 8 x 7 and C be a 7 x 2 matrix. Determine the size of the following…

A:

Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

A:

Q: Find the rank of the following matrices: 1 2 2 3 3 2 1 тank(A)— 2 3 таnk(A)—

A: We use the definition of the rank of a matrix to find the rank of given matrices.

Q: Calculate the inverse of the following matrix using the reduced row echelon form technique: A = 2 0…

A:

Q: determine which of the following matrices are nonsingular:

A: to determine the matrix which is non singular.

Q: ices with the same size, then (AT + B")":

A:

Q: Use the following matrices to compute A + B. -4 B = 1 3 1 A = 1 6 -2 3 -6

A:

Q: Construct an example of an 4×3 matrix with rank 1: You can resize a matrix (when appropriate) by…

A: Rank of Matrix: A n×m matrix has rank k , if k is the  maximum  number of its linearly independent…

Q: rank of the following matrices: 2 1 3 B= 20 2 1 1 2

A: We have to find out

Q: Show that the solution of the equation %3D dt ax? satisfying the conditions: (i) T →0 as t→ * (ii)…

A: Given equation is ∂T∂t=∂2T∂x2 satisfying the condition T→0 as t→∞ T0,t=0, Ta, t=0,   t&gt;0 Tx,…

Q: Find an LU 5 -5 -10 25 -13 -13-8 factorization of the following matrices: -3 0 5 -6 9 -5 (a) 3 -1 2…

A:

Q: If A and B are nXn matrices, then (A-B) =A-2AB+B Select one:

A: A-B2=A-BA-B=A2-AB-BA+B2

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.