If a matrix has 8 elements, what are the possible orders it can have ? What if it has 5 elements ? Watch Solution
If A = [aij] = [[2,3,-5],[1,4,9],[0,7,-2]] and B = [bij] = [[2,-1],[-3,4],[1,2]] then find (i) a22 + b21 (ii) a11b11 + a22b22 Watch Solution
Let A be a matrix of order 3×4. If R1 denotes the first row of A and C2 denotes its second column, then determine the orders of matrices R1 and C2. Watch Solution
Construct a 2×3 matrix A=[aij] whose elements aij are given by aij = i×j Watch Solution
Construct a 2×3 matrix A = [aij] whose elements aij are given by : aij = 2i – j Watch Solution
Construct a 2×3 matrix A = [aij] whose elements aij are given by : aij = i + j Watch Solution
Construct a 2×3 matrix A = [aij] whose elements aij are given by : aij = (i+j)^2/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = (i + j)^2/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = (i – j)^2/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = (i – 2j)^2/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = (2i + j)^2/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = |2i – 3j|/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = |-3i + j|/2 Watch Solution
Construct a 2×2 matrix A = [aij] whose elements aij are given by : aij = e^(2ix) sin xj Watch Solution
Construct a 3×4 matrix A = [aij] whose elements aij are given by : aij = i + j Watch Solution
Construct a 3×4 matrix A = [aij] whose elements aij are given by : aij = i – j Watch Solution
Construct a 3×4 matrix A = [aij] whose elements aij are given by : aij = 2i Watch Solution
Construct a 3×4 matrix A = [aij] whose elements aij are given by : aij = j Watch Solution
Construct a 3×4 matrix A = [aij] whose elements aij are given by : aij = 1/2|-3i + j| Watch Solution
Construct a 4×3 matrix A = [aij] whose elements aij are given by: aij = 2i + i/j Watch Solution
Construct a 4×3 matrix A = [aij] whose elements aij are given by: aij = (i – j)/(i + j) Watch Solution
Construct a 4×3 matrix A = [aij] whose elements aij are given by: aij = i Watch Solution
Find x, y, a and b if [[3x+4y, 2, x-2y], [a+b, 2a-b, -1]] = [[2, 2, 4], [5, -5, -1]] Watch Solution
Find x, y, a and b if [[2x-3y, a-b, 3], [1, x+4y, 3a+4b]=[[1, -2, 3], [1, 6, 29]] Watch Solution
Find the values of a, b, c and d from the following equations: [[2a+b, 1-2b], [5c-d, 4c+3d]] =[[4, -3], [11, 24]] Watch Solution
Find x, y and z so that A=B, where A=[[x-2, 3, 2x], [18z, y+2, 6z]], B = [[y, z, 6], [6y, x, 2y]] Watch Solution
If [[x, 3x-y], [2x+z, 3y-w]]=[[3, 2], [4, 7]], find x, y, z, w. Watch Solution
If [[x-y, z], [2x-y, w]] = [-1, 4], [0, 5]] find x, y, z, w. Watch Solution
If [[x+3, z+4, 2y-7], [4x+6, a-1, 0], [b-3, 3b, z+2c]] = [[0, 6, 3y-2], [2x, -3, 2c+2], [2b+4, -21, 0]] obtain the values of a, b, c, x, y and z. Watch Solution
If [[2x+1, 5x], [0, y^2+1]]=[[x+3, 10], [0, 26]], find the value of (x + y). Watch Solution
If [[xy, 4], [z+6, x+y]]=[[8, w], [0, 6]] then find the values of x, y, z and w. Watch Solution
Give an example of a row matrix which is also a column matrix Watch Solution
Give an example of a diagonal matrix which is not scalar. Watch Solution
The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2×3 matrices summarizing sales data for January and 2-month period for each dealer. Watch Solution
For what values of x and y are the following matrices equal ? A=[[2x+1, 2y], [0, y^2-5y]], B=[[x+3, y^2+2], [0, -6]] Watch Solution
Find the values of x and y if [[x+10, y^2+2y], [0, -4]]=[[3x+4, 3], [0, y^2-5y]] Watch Solution
Find the values of a and b if A=B, where A=[[a+4, 3b], [8, -6]], B=[[2a+2, b^2+2], [8, b^2-10]] Watch Solution
