Please show every step. Please DO NOT skip a step. It is hard to follow or assume the step you took to solve the problem when steps are skipped. The image presents two problems involving matrices.**Problem 21:**Matrix A is given as:\[A = \begin{bmatrix} 3 & 1 \\ 2 & 1 \end{bmatrix}\]**Problem 22:**Matrix A is given as:\[A = \begin{bmatrix} 2 & 0 \\ 4 & 1 \end{bmatrix}\]No graphs or diagrams are present in the image. Each problem involves a 2x2 matrix, which is a rectangular array of numbers with two rows and two columns. The first matrix consists of the entries 3, 1 in the first row and 2, 1 in the second row. The second matrix consists of the entries 2, 0 in the first row and 4, 1 in the second row. These matrices can be used for various operations such as addition, multiplication, finding the determinant, or calculating the inverse, providing essential components in linear algebra studies. In Exercises 21–22, compute p(A) for the given matrix A and the following polynomials.a. \( p(x) = x - 2 \)b. \( p(x) = 2x^2 - x + 1 \)c. \( p(x) = x^3 - 2x + 1 \)

The objective of the question is determine the polynomial value of p(A). Note - As per our…

Answered: In Exercises 21–22, compute p(A) for…

In Exercises 21–22, compute p(A) for the given matrix A and the following polynomials. a. p(x) = x - 2 b. p(x) = 2x²-x+1 c. p(x) = x³ - 2x + 1

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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