Question

what is matrix?????????????????​

Answer 1

Step-by-step explanation:

In mathematics, a matrix (plural: matrices) is a rectangular array[1] (cf. irregular matrix) of numbers, symbols, or expressions, arranged in rows and columns.[2][3] For example, the dimension of the matrix below is 2 × 3 (read "two by three"), because there are two rows and three columns:

{\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.}{\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.}

Provided that they have the same size (each matrix has the same number of rows and the same number of columns as the other), two matrices can be added or subtracted element by element (see Conformable matrix). The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second (i.e., the inner dimensions are the same, n for an (m×n)-matrix times an (n×p)-matrix, resulting in an (m×p)-matrix. There is no product the other way round, a first hint that matrix multiplication is not commutative. Any matrix can be multiplied element-wise by a scalar from its associated field.

Answer 2

Iɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs , ᴀ ᴍᴀᴛʀɪx ɪs ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴀʀʀᴀʏ ᴏғ ɴᴜᴍʙᴇʀs , sʏᴍʙᴏʟs, ᴏʀ ᴇxᴘʀᴇssɪᴏɴs, ᴀʀʀᴀɴɢᴇᴅ ɪɴ ʀᴏᴡs ᴀɴᴅ ᴄᴏʟᴜᴍɴs .

Fᴏʀ ᴇxᴀᴍᴘʟᴇ :

Tʜᴇ ᴅɪᴍᴇɴsɪᴏɴ ᴏғ ᴛʜᴇ ᴍᴀᴛʀɪx ʙᴇʟᴏᴡ ɪs 2 × 3, ʙᴇᴄᴀᴜsᴇ ᴛʜᴇʀᴇ ᴀʀᴇ ᴛᴡᴏ ʀᴏᴡs ᴀɴᴅ ᴛʜʀᴇᴇ ᴄᴏʟᴜᴍɴs : Pʀᴏᴠɪᴅᴇᴅ ᴛʜᴀᴛ ᴛʜᴇʏ ʜᴀᴠᴇ ᴛʜᴇ sᴀᴍᴇ sɪᴢᴇ , ᴛᴡᴏ ᴍᴀᴛʀɪᴄᴇs ᴄᴀɴ ʙᴇ ᴀᴅᴅᴇᴅ ᴏʀ sᴜʙᴛʀᴀᴄᴛᴇᴅ ᴇʟᴇᴍᴇɴᴛ ʙʏ ᴇʟᴇᴍᴇɴᴛ.....