# square matrix

Hii. I just found your blog and thanks god, because I was trying to solve this one without luck. It says find the determinant of square matrix A. Thank you so much if you could help

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Heya!

The determinant is invariant under row addition, so if you add row i to row j k times then the determinant doesn’t change.

Knowing that, add row 1 to row 3 4 times and you get that row 3 is full of zeros. This means the determinant is 0.

Hope this helps! @colour-mind

3

Dot and Mabel, Dabel…….Dobel

……..Mot

Inktober day 8

“Exponentials on the BBS-ISL Matrix: within 3^n” preview, 2017  Reginald Brooks
3^2 is on the Prime Diagonal (PD). All the exponential values above X^2 are on diagonal parallel to PD. That parallel diagonal is X-steps away from the PD. The exponential value is also present as an AREA shown in solid color.

+ his eyes… lol

tried human demons

or as I like to call it

EYE PATCH CLUB

Dot “If I add eye lashes, you remind me of rock lee” Matrix

and “Cheekbones so sharp they can make a tear in the universe” Kryptos

2

Final Fantasy IV on the Nintendo DS uses a simple but intelligent method of making boss battles feel more dynamic in comparison to basic random encounters: a slight alteration of the camera angle. In addition to showing the boss in full glory, it also makes the player feel as if they are facing a threat greater than themselves, which isn’t as evident when they are presented as equal to their opponents in random encounters.

Final Fantasy: The 4 Heroes of Light, Nintendo DS.

Linear transformations

Matrices and matrix multiplication reveal their essential features when related to linear transformations, also known as linear maps. A real m-by-n matrix A gives rise to a linear transformation Rn → Rm mapping each vector x in Rn to the (matrix) product Ax, which is a vector in Rm. T(vector(x)) = (ax+cy; bx+dy)

The matrix A is said to represent the linear map f, and A is called the transformation matrix of f (containing the constants that define the linear transformation), where a, b, c, and d are numbers defining the linear transformation.

Such as T :Rn → Rn, then T is associated with a square n×n matrix. One can calculate the determinant of such a square matrix, and such determinants are related to area or volume. It turns out that the determinant of a matrix tells us important geometrical properties of its associated linear transformation. Det (A) = a.d-b.c, The square increase area by a factor of |Det (A)|

(A linear transformation on R2 given by the indicated matrix. The determinant of this matrix is −1, as the area of the green parallelogram at the right is 1, but the map reverses the orientation, since it turns the counterclockwise orientation of the vectors to a clockwise one)

Horizontal shear with m=1.25

Horizontal flip

Squeeze mapping with r=3/2

Scaling by a factor of 3/2

Rotation by π/6R = 30°

Game Face

It reminds me of something out of the Matrix Films.

flickr

Pixel Cloud da Martin Turner
Tramite Flickr:
Continuing my Open House London 2012 photos, this is Jason Bruges Studio’s ‘Pixel Cloud’, an art installation in the atrium of law firm Allen & Overy’s office building in Bishops Square. A 3d matrix of 624 polycarbonate globes which span eight storeys. Each 120mm globe is fitted with 24 LEDs and can be controlled independently allowing for light and colour changes. I managed to capture the colour change between yellow and cyan, the display is one of the most impressive things I have seen. The glass atrium reflects each globe, creating a a light galaxy. In a bid to include more of a human element into my architectural photography, you will spot Flickr buddy The Green Album at the bottom. Well I say bottom, but actually this walkway has a rather big drop either side. Have a great weekend!