8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other than x = 0? {Here x is an nx1 real matrix & A is an nxn real matrix.} (ii) Give an example of the 2x2 type in Part 8(i). (i) V. (Hint: Ix = x) (ii) V (n=2 )

Q: k 2 2. Consider the augmented matrix Aaug = 0 (1- k) (k2 – 1) k +1 (a) For which value(s) of k is…

A: We get no solution if rank [A:B] is not equal to rank of A.

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: How many "same" types of 1 by 3 matrices in reduced row-echelon form are there? (a) 2 (b) 3 (c) 4…

A: The general form of 1 by 3 matrix is, abc

Q: 3 4 What is the (1, 3) minor of the matrix -5 -1 1? 4 3 2.

A: Solution: Consider the given matrix is : A = 342-5-11403 Let's define the minor of the matrix: The…

Q: (b) A matrix is defined as the first three rows given as (3, -2, 1) (2, 3, -4) and (4, -1, 2).…

A: (b) Given matrix rows are 3,−2,1, 2,3,−4 and 4,−1,2. Write it in matrix form, which is given below…

Q: solve the matrix game using a geometric liner progrmming aproach   [0  -3] [-6  6]  i cant make…

A: the matrix is 0-3-66 compare the matrix with abcd find the value of D where…

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

A:

Q: Can someone help me answer this question with all the steps thank you.

A:

Q: b. If c # 0, is the following property true or false?· (CA)-1 = c-1A-1

A: 4 Given Aand B are the n×n invertible matrices. b If c≠0 then we have to check whether the property…

Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

A:

Q: 2 1 0 0 0 2 0 1 3. Let A and Ba 4 x 4 matrix with det(B) = 3. 0 3 1 -1 2 0 1 (a) (3 marks) Find…

A:

Q: Which 2x2 among the matrices/matrix below satisfy(ies) X^2 -5X + 21 = 0 where I and O are the 2x2…

A: We have to find the matrix that satisfies the given equation.

Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

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

A:

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

A:

Q: If matrix A is of order 3x1 and matrix B is of order 4x3, then the order of matrix BA is 4x1 O 1x4…

A:

Q: = 5.8. Let f₁(x) = x³ x² +1, f₂(x) = x³ + x² + x and f3 (x) = x³ + 2x²+3x+1 be three polynomials in…

A:

Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: 2 0 -1 1 -2 2 A = 2 -1 0 1 -1 6. ||

A:

Q: [7 3 -5 Q1\ A- 1- if A = 0 4 and B= 3A;C = B+5I find matrix D such that 1 4 D= 2A+B-C

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Q: 1. True or False: (Matrix [mxn]) [3x6][5x3]=[5x6] O True O False O Maybe

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Q: I just need to know how to solve part b of the problem with the given equation. I tried, but I could…

A:

Q: 5) Given the function f(z) = 5+ 6z -4z2, find and simplify the difference quotient. f(z +h) – f(x)…

A: we have to find the difference quotient for the following function

Q: (a) If 4-[a] is a 3x3 matrix; such that a -i (4-7), find the values of diagonal elements and the…

A: What is Matrix: If we arrange some elements, may be number or alphabets in rectangular array, the…

Q: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

A:

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

A:

Q: Find (3) BA + (4)AC, if possible что 2 O - 3] B=√₁ A.) (3) BA+ (Y)A(=[ A = -2 -3 3 O 1 O 1 -10 C =…

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Q: (ЗАТ + 4CТВ)Т- 54 - 4B

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Q: Use a software program or a graphing utility with matrix capabilities to find (A), 141, 142, 12A),…

A: We have to find , and .

Q: How " Same" types of 3 by many matrices in reduced roW-echelon form are there ? a)2 (b)3 (C)4 (d)5

A: The objective is to find how many type of 3×1 matrices in reduced row echelon form are there. The…