Matrix Operations
Gbogbo ọrọ náà
A matrix is a rectangular grid of numbers that lets you store and manipulate a whole table of data, such as a set of sports results or a system of coordinates, using a single algebraic object. Once the rules for combining matrices are fixed, matrices become a compact way to represent information that would otherwise take rows of separate equations.
This topic covers representing data as a matrix, adding and multiplying matrices (including the surprising fact that order matters), multiplying by a scalar, the identity and zero matrices, and finding the determinant and inverse of a 2 by 2 matrix.
Ebumnobi
- Represent data by a matrix
- Perform addition and multiplication of matrices of order not more than 3 x 3
- Multiply a matrix by a scalar
- Understand and use unit (identity) matrix and zero (null) matrix of order not more than 3 x 3
- Find determinants and inverses of non-singular 2 x 2 matrices
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Matrix Operations. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- What is the order of a matrix with 3 rows and 2 columns? A) 2 x 3 B) 3 x 2 C) 5 x 1 D) 6 x 1 Answer: B
- If A = [[2,1],[0,3]] and B = [[1,4],[-1,2]], what is A + B? A) [[3,5],[-1,5]] B) [[1,-3],[1,1]] C) [[2,4],[0,6]] D) [[3,1],[0,3]] Answer: A
- What is the determinant of [[5,2],[3,1]]? A) 1 B) -1 C) 11 D) 5 Answer: B
- A matrix with determinant equal to zero is called: A) an identity matrix B) a zero matrix C) a singular matrix D) a scalar matrix Answer: C
- For two matrices A and B, which statement is generally true? A) AB = BA B) AB does not equal BA C) A + B = B + A only if both are square D) AB is always the zero matrix Answer: B
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Matrices and Matrix Operations
Find the sum and difference of two matrices.
"Algebra and Trigonometry: Matrices and Matrix Operations" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/11-5-matrices-and-matrix-operations. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Solving Systems with Inverses
Find the inverse of a matrix.
"Algebra and Trigonometry: Solving Systems with Inverses" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/11-7-solving-systems-with-inverses. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Matrix Operations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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