Use matrix algebra to solve matrix equations that involve matrices of up to dimension 2 × 2, including those of the form 𝑨𝑿 = 𝑩, 𝑿𝑨 = 𝑩 and 𝑨𝑿 + 𝑩𝑿 = 𝑪, with and without technology.

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Use matrix algebra properties, including 𝑨 + 𝑩 = 𝑩 + 𝑨 (commutative law for addition) 𝑨 + 0 = 𝑨 (additive identity) 𝑨 + (−𝑨) = 0 (additive inverse) 𝑨𝑰 = 𝑨 = 𝑰𝑨 (multiplicative identity) 𝑨𝑨−1 = 𝑰 = 𝑨−1𝑨 (multiplicative inverse) 𝑨(𝑩 + 𝑪) = 𝑨𝑩 + 𝑨𝑪 (left distributive law) (𝑩 + 𝑪)𝑨 = 𝑩𝑨 + 𝑪𝑨 (right distributive law)