(a) The initial matrix is: -5x13x2 + 1x3 = -1 3x1 +4x21x3 = 3 -3x14x2 + 1x3 = -5 888 (b) First, perform the Row Operation R₁ → R₁. The resulting matrix is:

Q: If matrix A is 2 x 5 and the product AB is 2 x 4, then what is the order (or size) of B?

A: is a  matrix is  matrix.We have to find the order of

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: find the inverse of the 2x2 matrix : [3 1]…

A:

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: For a matrix A: -101 0 0 0 10-1 Find the orthogonal complement of Im (TA)

A: Orthogonal complement of the space

Q: inversion to solve the given systems of equation: 8000A+3000B+1000C = 700000,…

A: 8000A+3000B+1000C = 700000, 5000A+120000B+10000C=181000, 1000A+3000B+2000C=41000

Q: How would you write the dimension of a matrix with 7 columns and 3 rows?

A: Given, A matrix has 7 columns   and  3 rows  We have to find the dimension of a matrix.

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

A:

Q: Ei) dim(COLA) is (ii) dim(ColA)- is (ii) dim(RowA) is (iv) dim(RowA)- is (v) dim(NulA) is

A:

Q: Solve the dimensions of the matrix

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

A:

Q: In the context of a 3 x 4 matrix, write down elementary matrices for the following operations: (a)…

A:

Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

A:

Q: Q#2:-Find how many Even and Odd numbers inside the upper triangle of the secondary diagonal for…

A:

Q: Let If A is 2x2 matrix and /(4)=0, then %3D

A:

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

A:

Q: Given the matrices: 2-1 0 A - (²29). B- (1¹³). (7³), 0- -1 3 Compute each of the following, if they…

A: We are given the matrices A,B and C.

Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

A:

Q: Perform the row operation 6R1+ R2 → R2 on the following matrix. 1 2 -2 6 -6 -5 2 -1 The new matrix…

A: We are given a matrix  12-26-6-52-15 We have to perform row operation 6R1+R2 -> R2 i.e We have to…

Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

A:

Q: (1 b) Write a common matrix with a format (5 x2) form, provide a specific numerical example. Write a…

A: For the solution follow the next step.

Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

A:

Q: Explain why the number of columns in matrix A mustequal the number of rows in matrix B when finding…

A: Consider the provided information, The number of columns in matrix A must equal the number of rows…

Q: For matrixA = if g(X) = X2 +4x + 2, what is the answer to g(A)?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the inverse of the matrix:  [2 1] [3 4]

A: INVERSE OF A MATRIX EXISTS IFF ITS DETERMINANT IS NON ZERO OR MATRIX IS INVERTIABLE. AND THEN

Q: Q2: Find the inverse of the matrix -18 M -7

A:

Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

Q: Write the augmented matrix of the system -9x +92y -90z -33y +6z +28z -11x -63 -4 -79

A:

Q: If matrix [A] is a 5x5 matrix and a matrix [Z] is obtained by the row operations of replacing Rowl…

A: .