<prompt> Theha matrix a phetolelo bakeng sa lintlha tse potolohang 2pi3 radians ho ea ka nako ea nako.nan  <response>: Instruction in English: Construct the translation matrix for rotating points 2pi3 radians counterclockwise. . Response in English: To rotate points counterclockwise by an angle theta in a two-dimensional plane, we can use a rotation matrix. In this case, we want to rotate 2pi3 radians counterclockwise, so theta 2pi3.The rotation matrix for rotating counterclockwise by an angle theta in a two-dimensional plane is given by the following formula:R costheta, -sintheta, sintheta, costhetaSo, the rotation matrix for rotating 2pi3 radians counterclockwise can be written as:R cos2pi3, -sin2pi3, sin2pi3, cos2pi3After evaluating the trigonometric expressions, we can write the final matrix as:R -12 , -sqrt32, sqrt32, -12 This matrix can be used to rotate any point x, y counterclockwise by 2pi3 radians by performing matrix multiplication: R x, y. . Response in Sesotho: Ho potoloha lintlha ka lehlakoreng le leng ka angle theta sefofaneng sa mahlakore a mabeli, re ka sebelisa matrix a potolohang. Tabeng ena, re batla ho potoloha 2pi3 radians counterclockwise, kahoo theta 2pi3. Matrix a potoloho bakeng sa ho potoloha ho fapana le oache ka angle theta sefofaneng sa mahlakore a mabeli se fanoa ka mokhoa o latelang: R costheta, -sintheta, sintheta, cos theta Kahoo, matrix a potolohang bakeng sa ho potoloha 2pi3 radians ka tsela e fapaneng le oache e ka ngoloa e le: R cos2pi3, -sin2pi3 , sin2pi3, cos2pi3 Ka mora ho hlahloba lipolelo tsa trigonometric, re ka ngola matrix ea ho qetela e le: R -1 2 , -sqrt32, sqrt32, -12 Matrix ena e ka sebelisoa ho potoloha ntlha efe kapa efe x, y ka tsela ea 2pi3 radians. ka ho etsa katiso ea matrix: R x, y. 