SOLUTION: Given that the matrix 𝑨 = [ 1 3 −2 −1 0 6 2 4 0 ] Find the matrix X, where 𝑿 = 𝑨 𝟐 + 2𝑨 − 3𝑰, and I is a 3 x 3 identity matrix.

Question 1187007: Given that the matrix 𝑨 = [
1 3 −2
−1 0 6
2 4 0
]
Find the matrix X, where 𝑿 = 𝑨
𝟐 + 2𝑨 − 3𝑰, and I is a 3 x 3 identity matrix.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

Sorry, you can't have 𝟐 + 2𝑨 − 3𝑰 because 2 is a number, not a matrix.
It makes no sense to "add the matrix 2𝑨 − 3𝑰 to a plain old number like 2".

Edwin

RELATED QUESTIONS
Hi,my name is Natalia. I solved two problems, but I'm not sure that I did it right. I... (answered by venugopalramana)

Given P = ( 3 0 2 2 1 2 -3 -4 -6 ) a) if ( 2 6 n -2 m 9 0 -2 1 ) is the... (answered by ElectricPavlov)

Consider the accompanying matrix. Use the test for linear independence to find a basis... (answered by venugopalramana)

given f(x)=2x^2-3x+4 where A=matrix (-1 2) (0 3) find... (answered by stanbon)

Suppose that A is a square matrix and A4 = 0 (the zero matrix). Show that (10 points) (I (answered by ikleyn)

A Matrix is given. a) Determine whether the matrix is in row-echelon form. b) Determine... (answered by Edwin McCravy)

If A= 4 4 −2 −1 0 1 3 6 −1 , show that A^2 = A + kI for some... (answered by ikleyn)

Given the matrix A= 1 1 1 1 2 3 1 4 5 Find a 3X3 matrix, B, that is not... (answered by Edwin McCravy)

Find the inverse of the following matrix, the inverse exists. A = [2 1 0] [0 (answered by Fombitz)