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

______________________________________________________________

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


“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.

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.

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°

See more: [En.wikipedia.org/TransformationMatrix], [En.wikipedia.org/LinearMap], [En.wikipedia.org/Matrix]

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!