ICSE Solutions for Class 10 Mathematics – Matrices

ICSE Solutions for Class 10 Mathematics – Matrices

ICSE SolutionsSelina ICSE Solutions

Get ICSE Solutions for Class 10 Mathematics Chapter 10 Matrices for ICSE Board Examinations on ../. We provide step by step Solutions for ICSE Mathematics Class 10 Solutions Pdf. You can download the Class 10 Maths ICSE Textbook Solutions with Free PDF download option.

Download Formulae Handbook For ICSE Class 9 and 10

Formulae

icse-solutions-class-10-mathematics-19

Addition of Matrices: Let A and B be two matrices each of order m × n. Then their sum A + B is a matrix of order m × n and is obtained by adding the corresponding elements of A and B.

icse-solutions-class-10-mathematics-20

Properties of Matrix Addition:

  1. Matrix addition is commutative

    i.e., A + B = B + A
  2. Matrix addition is associative for any three matrices A, B and C.

    A + (B + C) = (A + B) + C.
  3. Existence of identity.

    A null matrix is identity element for addition.

    i.e., A + 0 = A = 0 + A.
  4. Cancelation laws hold good in case of matrices.

    A + B = A + C ⇒ B = C.

Subtraction of Matrices:

For two matrices A and B of the same order, we define

A – B = A + (- B).

icse-solutions-class-10-mathematics-21

Properties of Matrices Multiplication

  1. Matrix multiplication is not commutative in general for any two matrices AB ≠ BA.
  2. Matrix multiplication is associative

    i.e., (AB) C = A (BC) when both sides are defined.
  3. Matrix multiplication is distributed over matrix addition

    i.e., A (B + C) = AB + AC

    (A + B) C = AC + BC.
  4. If A is an n × n matrix then

    InA = A = AIn
  5. The product of two matrices can be the null matrix while neither of them is the null matrix.

Determine the Following

icse-solutions-class-10-mathematics-220

icse-solutions-class-10-mathematics-221

icse-solutions-class-10-mathematics-222

icse-solutions-class-10-mathematics-223

icse-solutions-class-10-mathematics-224

icse-solutions-class-10-mathematics-225

icse-solutions-class-10-mathematics-226

icse-solutions-class-10-mathematics-227

icse-solutions-class-10-mathematics-228

icse-solutions-class-10-mathematics-229

icse-solutions-class-10-mathematics-230

icse-solutions-class-10-mathematics-231

icse-solutions-class-10-mathematics-232

icse-solutions-class-10-mathematics-233

icse-solutions-class-10-mathematics-234

icse-solutions-class-10-mathematics-235

icse-solutions-class-10-mathematics-236

icse-solutions-class-10-mathematics-237

icse-solutions-class-10-mathematics-238

icse-solutions-class-10-mathematics-239

icse-solutions-class-10-mathematics-240

icse-solutions-class-10-mathematics-241

icse-solutions-class-10-mathematics-242

icse-solutions-class-10-mathematics-243

icse-solutions-class-10-mathematics-244

icse-solutions-class-10-mathematics-245

icse-solutions-class-10-mathematics-246

icse-solutions-class-10-mathematics-247

icse-solutions-class-10-mathematics-248

icse-solutions-class-10-mathematics-249

icse-solutions-class-10-mathematics-250

icse-solutions-class-10-mathematics-251

icse-solutions-class-10-mathematics-252

icse-solutions-class-10-mathematics-253

icse-solutions-class-10-mathematics-254

icse-solutions-class-10-mathematics-255

icse-solutions-class-10-mathematics-256

icse-solutions-class-10-mathematics-257

icse-solutions-class-10-mathematics-258

icse-solutions-class-10-mathematics-259

icse-solutions-class-10-mathematics-260

icse-solutions-class-10-mathematics-261

icse-solutions-class-10-mathematics-262

icse-solutions-class-10-mathematics-263

icse-solutions-class-10-mathematics-264

Prove the Following 

Matrices-icse-solutions-class-10-mathematics-1

Matrices-icse-solutions-class-10-mathematics-2

Matrices-icse-solutions-class-10-mathematics-3

Matrices-icse-solutions-class-10-mathematics-4

Matrices-icse-solutions-class-10-mathematics-5

Matrices-icse-solutions-class-10-mathematics-6

For More Resources

You might also like
Leave A Reply