Show that 𝐀=[■8(𝟓&𝟑@−𝟏&−𝟐)] satisfies the equation 𝐀^𝟐−𝟑𝐀−𝟕𝐈=𝐎 & hence find 𝐀^(−𝟏)........Q122 скачать в хорошем качестве

Show that 𝐀=[■8(𝟓&𝟑@−𝟏&−𝟐)] satisfies the equation 𝐀^𝟐−𝟑𝐀−𝟕𝐈=𝐎 & hence find 𝐀^(−𝟏)........Q122

Class XII_Matrices Q122: Show that A=[■(5&3@-1&-2)] satisfies the equation A^2-3A-7I=O & hence find A^(-1). Previous recorded questions and their links: O Q122: If A is a square matrix such that A^2=A, write the value of (I+A)^3-7A.:    • If A is a square matrix such that A^2=A, w...   PROPERTIES OF MATRIX MULTIPLICATION:    • PROPERTIES OF MATRIX MULTIPLICATION | Part 2   Q149: If P(x)=[■(cos⁡x&sin⁡x@-sin⁡x&cos⁡x )], then show that P(x)⋅P(y)=P(x+y)=P(y)⋅P(x):    • If 𝐏(𝒙)=[■8(𝐜𝐨𝐬⁡𝒙&𝐬𝐢𝐧⁡𝒙@−𝐬𝐢𝐧⁡𝒙&𝐜𝐨𝐬⁡𝒙 )], t...   Q153: In a legislative assembly election, a political group hired a public relations firm to promote its candidate in three ways; telephone, house calls and letters. The cost per contact (in paise) is given in matrix A as A = [█(40@100@50)] ■(Telephone@House Call@Letters) Find the total amount spent by the group in the 2 cities X & Y.:    • In a legislative assembly election, a poli...   Q160: A manufacturer produces three products x, y, z which he sells in two markets. Annual sales are indicated below:    • A manufacturer produces three products x, ...   If unit sale prices of x, y and z are Rs. 2.50, Rs. 1.50 and Rs. 1.00, respectively, find the total revenue in each market with the help of matrix algebra. If the unit costs of the above three commodities are Rs. 2.00, Rs. 1.00 and 50 paise respectively. Find the gross profit. CONCEPT: SYMMETRIC & SKEW SYMMETRIC MATRIX:    • Видео   CONCEPT: TRANSPOSE OF A MATRIX:    • CONCEPT: TRANSPOSE OF A MATRIX   Q172(ii): If A=[■(sin⁡α&cos⁡α@-cos⁡α&sin⁡α )], verify A^' A=I:    • If A=[■(sin⁡α&cos⁡α@-cos⁡α&sin⁡α )], verif...   Q175: If A=[■(cos⁡θ&〖-sin〗⁡θ@sin⁡θ&cos⁡θ )], then find the value of θ satisfying the equation A^T+A=I_2:    • If A=[■(cos⁡θ&〖-sin〗⁡θ@sin⁡θ&cos⁡θ )], the...   Q177: Find the values of x, y, z if the matrix A=[■(0&2y&z@x&y&-z@x&-y&z)] satisfy the equation A^T A=I_2:    • Find the values of x, y, z if the matrix A...   Q185: If matrix [■(0&a&3@2&b&-1@c&1&0)] is a skew symmetric matrix, then find a, b & c:    • If matrix [■(0&a&3@2&b&-1@c&1&0)] is a ske...   Q193: If A and B are symmetric matrices, prove that AB – BA is a skew symmetric matrix.:    • If A and B are symmetric matrices, prove t...   Q198(i): Express the following matrices as the sum of a symmetric and a skew symmetric matrix [■(3&5@1&-1)]:    • Express the following matrices as the sum ...   Q28: Which of the given values of x and y make the following pair of matrices equal [■(3x+7&5@y+1&2-3x)], [■(0&y-2@8&4)] a. x=-1/3, y=7 b. Not possible to find c. y=7, x=-2/3 d. x=-1/3, y=-2/3    • Which of the given values of 𝐱 and 𝐲 make ...   Q30: If [■(xy&4@z+6&x+y)] = [■(8&w@0& 6)], find x + y + z.    • If  [■8(𝐱𝐲&𝟒@𝐳+𝟔&𝐱+𝐲)] = [■8(𝟖&𝐰@𝟎& 𝟔)], f...   Q34: If [■(x+y&2@5&xy)]=[■(6&2@5&8)], then the value of (24/x+24/y) is?    • If [■8(x+y&2@5&xy)]=[■8(6&2@5&8)], then th...   TRACE OF A MATRIX:    • TRACE OF A MATRIX:   Q37: If possible, find the sum of the matrices A and B, where A=[■(√3&1@2&3)] & B=[■(x&y&z@a&b&6)]    • If possible, find the sum of the matrices ...   Q40: Find A, if A + [■(2&3@-1&4)]=[■(3&-6@-3&8)]    • Find A, if A + [■8(𝟐&𝟑@−𝟏&𝟒)]=[■8(𝟑&−𝟔@−𝟑&...   Q45: If A=[■(1&5@7&12)] & B=[■(9&1@7&8)], find a matrix C such that 3A+5B+2C is a null matrix.    • If 𝐀=[■8(𝟏&𝟓@𝟕&𝟏𝟐)] & 𝐁=[■8(𝟗&𝟏@𝟕&𝟖)], fin...   Q50: Find, using the equation: 2[■(x&5@7&y-3)]+[■(3&-4@1&2)]=[■(7&6@15&14)]    • Find, using the equation:  2[■8(𝐱&𝟓@𝟕&𝐲−𝟑)...   x & y b. x + y c. x – y d. y – x Q58: If A=(■(0&3@2&-5)) and KA=(■(0&4a@-8&5b)) find the values of k and a.    • If 𝐀=(■8(𝟎&𝟑@𝟐&−𝟓)) and 𝐊𝐀=(■8(𝟎&𝟒𝐚@−𝟖&𝟓𝐛)...   Q63: Find matrices X and Y, if 2X – Y = [■(6&-6&0@-4&2&1)] and X + 2Y = [■(3&2&5@-2&1&-7)]    • Find matrices X and Y, if 2X – Y = [■8(𝟔&−...   Q82: If [■(2&1&3)][■(-1&0&-1@-1&1&0@0&1&1)][■(1@0@-1)]=A. Find A    • If [■8(𝟐&𝟏&𝟑)][■8(−𝟏&𝟎&−𝟏@−𝟏&𝟏&𝟎@𝟎&𝟏&𝟏)][■...   Q83: If P=[■(x&0&0@0&y&0@0&0&z)] & Q=[■(a&0&0@0&b&0@0&0&c)], prove that PQ=QP=[■(xa&0&0@0&yb&0@0&0&zc)].    • If 𝐏=[■8(𝒙&𝟎&𝟎@𝟎&𝒚&𝟎@𝟎&𝟎&𝒛)] & 𝐐=[■8(𝒂&𝟎&𝟎...   Q90: If [■(3&-2&0)][■(2@k@-5)]=O, where O is the null matrix, then the value of k is ?    • If 𝐏=[■8(𝒙&𝟎&𝟎@𝟎&𝒚&𝟎@𝟎&𝟎&𝒛)] & 𝐐=[■8(𝒂&𝟎&𝟎...   Q94: Find A, if [■(4@1@3)]A=[■(-4&8&4@-1&2&1@-3&6&3)]    • Find A, if [■8(𝟒@𝟏@𝟑)]𝑨=[■8(−𝟒&𝟖&𝟒@−𝟏&𝟐&𝟏@...   Q107: If A=[■(1&0@1&1)], find A^3.    • If 𝐀=[■8(𝟏&𝟎@𝟏&𝟏)], find 𝐀^𝟑.......Q107   Q113: If matrix A = [■(1&-1@-1&1)]and A2 = kA, find k.    • If matrix A = [■8(1&−1@−1&1)]and A2 = kA, ...   Q116: If A = [■(3&-2@4&-2)] and I=[■(1&0@0&1)], find k so that A2 = kA – 2I.    • If A = [■8(𝟑&−𝟐@𝟒&−𝟐)] and 𝐈=[■8(𝟏&𝟎@𝟎&𝟏)]...   Q120: Let A = [■(2&3@-1&2)] and f(x) = x2 – 4x + 7. Show that f(A) = O. Use this result to find A5.    • Let A = [■8(2&3@−1&2)] and f(x) = x2 – 4x ...   Q: Let A = [adj] lie a 3×3 matrix such that A[■(0@1@0)]=[■(0@0@1)], A[■(4@1@3)]=■(0@1@0) & A[■(2@1@2)]=■(1@0@0);then a_23=    • Let A = [𝒂𝒅𝒋] lie a 𝟑×𝟑 matrix such that 𝑨...   #cbse #icse #boards #8th #9th #10th #foundation #competition #iit #jee #Advanced #mains #ntse #olympiads #exams #examination #achiever #topper #zenith #zenithinstituteofmathematics #indersir #ludhiana #modelgram #bestmathscoaching #besttutorials #besttuition #bestinludhiana #mathtricks #viii #ix #x #xi #xii #important #excellent #question #Matrices #TypesOfMatrices #MatrixMultiplication #MatrixOperation #InverseOfMatrix #AdjointOfMatrix #IdentityMatrix