Wuhen the two coums a a matrin are interchanged , the dcterminant of the ficst matris is to the negative ef the second matrix. dolue far a ard b from the given matrin equiati on

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

A:

Q: Given a matrix A = -2 Find the matrix B if 2B - 312 = A. %3D

A: Given: A= 50-21 Now lets assume B=abcd

Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

A:

Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

A:

Q: Find the matrix A if 3 1 4 A = 11 00

A:

Q: Q2: You have the matrix 2 3 1 4 A = 4 3 5 2 1 4 3 1 How can we get the transpose of matrix A ?

A:

Q: For the following matrix, do a single valid elementary row operation to get a 1 in row 1, column 1.…

A:

Q: What 3 by 3 matrix E21 subtracts 4 times row 1 from row 2? What matrix P32 exchanges row 2 and row…

A:

Q: -9 -5 5-2 Multiply: -7 3 9. answer matrix c d 4

A: The multiplication of two matrices is possible if and only if the inner dimensions of both the…

Q: Given the matrix find A³. Write A³ as input your answer below: a11 a12 = a21 = 922 = = -[-3 0 A = A³…

A:

Q: To find the (3, 9) entry in a matrix product we compute the product of 3 of the first matrix with 9…

A: As we know that, Matrix multiplication indicates a row-by-column multiplication, where the entries…

Q: Express the quadratic form (c₁x₁ + €2₂x2 + ... + Cnn)² in the matrix notation TA, where A is…

A:

Q: a 3 A= -6 2 2 4

A:

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

A:

Q: TRUE OR FALSE a. If AB = [0], then A or B is a zero matrix.  b. For a square matrix A,AAT = ATA.…

A:

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: Diagonalize the following matrix, find P and D with A = PDP-¹, then compute A4 for the matrix A = 1…

A:

Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: Diagonalize the following matrix, and then find A¹0. A = 1 6 0 -

A:

Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.

Q: Express the column matrix b as a linear combination of the columns of A. (Use A, A2, and Az…

A: We have to find the linear combination of b in Columns of matrix A

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: 8.) Find the LU-factorization of the following matrix 1 2 2 2 3. 1.

A:

Q: C. Solve the following problems that involves rational algebraic equations transformable to…

A:

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.