Baic Matrix Problem

[aritrya101]

Construct a matrix 2X2 matrix A= [a_ij]_2X2 where elements are given by
1> a_ij=1/2(i + 2j)²
2> a_ij=1/2(i - j)²

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can some one please explain this problems, thanks.

 

[stapel]

Construct a matrix 2X2 matrix A= [a_ij]_2X2 where elements are given by
1> a_ij=1/2(i + 2j)²
2> a_ij=1/2(i - j)²

---

can some one please explain this problems, thanks.

Is there any mathematical significance to the "greater than" symbols after the "1" and the "2"? I'm going to assume not.

Have you studied matrices at all? The "aij" thing is the method for naming the "elements" "a" (the numbers or whatever) according to their positions in row "i" and column "j" in the matrix "A". You can learn about this here.

As for the rules for the values of the entries, you'll need to clarify the formatting. For instance, does the rule in part (1) mean either of the following?

. . . . .\(\displaystyle \mbox{a) }\, \dfrac{1}{2(i\, +\, 2j)^2}\)

. . . . .\(\displaystyle \mbox{b) }\, \dfrac{1}{2}(i\, +\, 2j)^2\)

Or something else? Thank you!