Let 6 -2 3 -5 A = and B = -2 1 2 -3 (a) Find AB, A-1, and B-1. AB = A-1 B-1 = (b) Show that (АВ)-1 3 в-1А-1, %3D (АВ)-1 B-1A-1 II

Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 -…

A: Dear student you have asked multiple questions. As per our policy your first question will be…

Q: X1 — 5х, + 2х; - 20 - —Зx1 + х2 — Хз %3D 8 — 2х2 + 5хз -16.

A: Given system of linear equation is x1−5x2+2x3=−20−3x1+x2−x3=8−2x2+5x3=−16..........1 Write the given…

Q: X1 + 3x2 – 2x3 + 2xs = 0 2x, + 6x2 – 5x3 – 2xg+4x5 – 3x6 = -1 X3 + 5x4 + 3x, = 1 x + 3x2 + 4x4 + 2xs…

A: Given that the system of linear equations is…

Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: 1 -3 -1 HA=[2] [2 If A = and AB = - 3 4 b₁ = b₂: = - 11 9 -2 86 determine the first and second…

A:

Q: ГО 3 -6 6 4-5] 8 -5 8 For the matrix 3 -7 L3 -9 12 -9 6 → R3, R₁ + R₂, R₂, 3R₂ + R3. R₁ → 9 perform…

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

A:

Q: If A= 1-3 -3 and AB= 15 14 -8 4 - 13 determine the first and second columns of B. Let b₁ be column 1…

A: The multiplication of two matrices A and B is defined only when the number of columns in A and the…

Q: Salve ty-32-S 14n-5 n-y+22= 31y +2:44 on

A:

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.